AnswersMathematics IIComparing Characteristics of Functions

Comparing Characteristics of Functions — Quiz Answers

69 verified answers4 views
21
Free Preview

Which function has a domain and range that includes all real values?

A
Image with description On a coordinate plane, the x-axis ranges from negative 6 to 10 in increments of 2, and the y-axis ranges from negative 10 to 8 in increments of 2. The graph has a straight line with a positive slope, goes through (0 comma negative 4), and (2 comma 0). It extends infinitely in both directions.
B
Image with description On a coordinate plane, the x and y axes range from negative 8 to 8 in increments of 2. The graph has a parabola that opens up with a vertex at the origin. It passes through (negative 2 comma 3) and (2 comma 3).
C
Image with description On a coordinate plane, the x and y axes range from negative 8 to 8 in increments of 2. The graph has an inverted v-shaped curve with a vertex at the origin. One line extends infinitely into the third quadrant passing through (negative 4 comma negative 4). The other line extends infinitely into the fourth quadrant passing through (4 comma negative 4).
D
Image with description On a coordinate plane, the x-axis ranges from negative 6 to 10 in increments of 2, and the y-axis ranges from negative 6 to 10 by 2. A smooth curve starts from (2 comma 2), goes up, and passes through (6 comma 4).
22
Free Preview

How do the functions in the table compare?

A
Since x -intercepts indicate the amount of each bacteria at the start of the experiment, there was more of bacteria B than bacteria A at the start.
B
Since y -intercepts indicate the amount of each bacteria at the start of the experiment, there was more of bacteria B than bacteria A at the start.
C
Since the minimum value in the table for bacteria A is less than the minimum value in the table for bacteria B, bacteria A has a slower growth rate than bacteria B.
D
Since the maximum value in the table for bacteria A is greater than the maximum value in the table for bacteria B, bacteria A has a faster growth rate than bacteria B.
23

Which function has the greatest maximum range value?

A
Image with description On a coordinate plane, the x-axis ranges from negative 6 to 10 by 2, and the y-axis ranges from negative 8 to 8 by 2. The graph has a parabola that opens down with a vertex (3 comma 1) and passes through (2 comma 0) and (4 comma 0).
B
Image with description On a coordinate plane, the x and y axes range from negative 10 to 6 in increments of 2. The graph has an inverted v-shaped draw-up with a vertex at (negative 3 comma 1). One line passes through (negative 5 comma negative 1) and extends infinitely into the third quadrant. The other line passes through (0 comma negative 2) and extends infinitely into the fourth quadrant.
C
Image with description On a coordinate plane, the x and y axes range from negative 8 to 8 in increments of 2. A smooth curve originates from (negative 3 comma 3), goes down, and passes through (2 comma 1) and (7 comma 0).
D
Image with description On a coordinate plane, the x and y axes range from negative 10 to 6 by 2. A smooth curve that approaches the negative direction of the x-axis, passes through (0 comma negative 1), goes down, and passes through (2 comma negative 4).
24

Which statements comparing the functions are true? Choose three correct answers.

A
The maximum of g of x is greater than the other maximums.
B
The range of h of x has more values than the other ranges.
C
Only f of x and h of x have x -intercepts.
D
The minimum of h of x is less than the other minimums.
E
Only f of x and h of x have y -intercepts.
25

Which functions have a y -intercept that is greater than the y -intercept of the function g of x is equal to start absolute value x plus 3 end absolute value plus 4 ? Choose three correct answers.

A
f of x is equal to negative 2 times open paren x minus 8 close paren squared
B
k times x is equal to 1 fourth times open paren x minus 4 close paren squared plus 4
C
h of x is equal to negative 5 divides x divides plus 10
D
j times x is equal to negative 4 times open paren x plus 2 close paren squared plus 8
E
m times x is equal to 1 fourth divides x minus 8 divides plus 6
26

Which statements can be used to compare the characteristics of the functions? Choose two correct answers.

A
f of x has an all negative domain.
B
h of x has a range of all negative numbers.
C
g of x has the greatest maximum value.
D
All three functions share the same range.
E
All three functions share the same domain.
27

Which function has the greatest x -intercept?

A
j times x is equal to negative 5 times open paren x minus 2 close paren squared
B
f of x is equal to 3 x minus 9
C
g of x is equal to start absolute value x plus 3 end absolute value
D
h of x is equal to 2 to the x th power minus 16
28

Which statement compares the ranges of the functions?

A
Since the range of f of x is limited to y is less than or equal to 0 and the range of g of x is limited to y is greater than or equal to negative 4 , the ranges overlap for the values negative 4 is less than or equal to y comma y is less than or equal to 0 .
B
The ranges of both f of x and g of x are limited to y is greater than or equal to negative 1 .
C
Since the range of f of x is limited to y is greater than or equal to negative 4 and the range of g of x is limited to y is less than or equal to 0 , the ranges overlap for the values negative 4 is less than or equal to y comma y is less than or equal to 0 .
D
The ranges of both f of x and g of x are limited to y is less than or equal to negative 1 .
29

Which function has exactly one x - and y -intercept?

A
Image with description On a coordinate plane, the x-axis ranges from negative 10 to 6 by 2, and the y-axis ranges from negative 6 to 10 by 2. A smooth curve approaches the x-axis in the negative direction, passes through (0 comma 1), and has a vertical asymptote at x equals 2.
B
Image with description On a coordinate plane, the x and y axes range from negative 8 to 8 by 2. The graph has a parabola that opens up, with a vertex at (2 comma 0). It passes through (0 comma 4) and (4 comma 4).
C
Image with description On a coordinate plane x lists from negative 6 to 10 by 2 and y axis lists from negative 8 to 8 by 2. The graph has two lines forming V shape and its vertex is at (2 comma negative 2). One line passes through (5 comma 0) and extends infinitely through the first quadrant. The other line passes through (0 comma 1) and extends infinitely through the second quadrant.
D
Image with description On a coordinate plane, the x-axis ranges from negative 10 to 6 by 2, and the y-axis ranges from negative 6 to 10 by 2. The graph has a smooth curve that starts from (0 comma 0 point 5), goes up, and passes through (1 comma 1).
30

Which function has the greatest x -intercept?

A
h of x is equal to 2 to the x th power minus 16
B
g of x is equal to start absolute value x plus 3 end absolute value
C
f of x is equal to 3 x minus 9
D
j times x is equal to negative 5 times open paren x minus 2 close paren squared
31

Which function has the greater slope and what does it indicate?

A
The language arts function has the greater slope, which shows that the estimated time per question for language arts is less than the estimated time per question for math.
B
The math function has the greater slope, which shows that the estimated time per question for math is less than the estimated time per question for language arts.
C
The math function has the greater slope, which shows that the estimated time per question for math is greater than the estimated time per question for language arts.
D
The language arts function has the greater slope, which shows that the estimated time per question for language arts is greater than the estimated time per question for math.
32

Consider the y -intercepts of the functions. f of x is equal to 1 fifth divides x minus 15 divides g of x is equal to open paren x minus 2 close paren squared

Answer:

-15|4

33

Which statement best compares the two functions?

A
The minimum of function A occurs 7 units lower than the minimum of function B.
B
The minimum of function A occurs 5 units lower than the minimum of function B.
C
The minimum of function A occurs 1 unit higher than the minimum of function B.
D
The minimum of function A occurs 3 units higher than the minimum of function B.
34

Which function has exactly one x - and y -intercept?

A
Image with description On a coordinate plane x lists from negative 6 to 10 by 2 and y axis lists from negative 8 to 8 by 2. The graph has two lines forming V shape and its vertex is at (2 comma negative 2). One line passes through (5 comma 0) and extends infinitely through the first quadrant. The other line passes through (0 comma 1) and extends infinitely through the second quadrant.
B
Image with description On a coordinate plane, the x-axis ranges from negative 10 to 6 by 2, and the y-axis ranges from negative 6 to 10 by 2. The graph has a smooth curve that starts from (0 comma 0 point 5), goes up, and passes through (1 comma 1).
C
Image with description On a coordinate plane, the x-axis ranges from negative 10 to 6 by 2, and the y-axis ranges from negative 6 to 10 by 2. A smooth curve approaches the x-axis in the negative direction, passes through (0 comma 1), and has a vertical asymptote at x equals 2.
D
Image with description On a coordinate plane, the x and y axes range from negative 8 to 8 by 2. The graph has a parabola that opens up, with a vertex at (2 comma 0). It passes through (0 comma 4) and (4 comma 4).
35

Which function has the greater slope and what does it indicate?

A
The language arts function has the greater slope, which shows that the estimated time per question for language arts is less than the estimated time per question for math.
B
The math function has the greater slope, which shows that the estimated time per question for math is less than the estimated time per question for language arts.
C
The math function has the greater slope, which shows that the estimated time per question for math is greater than the estimated time per question for language arts.
D
The language arts function has the greater slope, which shows that the estimated time per question for language arts is greater than the estimated time per question for math.
36

Which function has the greatest x -intercept?

A
j times x is equal to negative 5 times open paren x minus 2 close paren squared
B
h of x is equal to 2 to the x th power minus 16
C
f of x is equal to 3 x minus 9
D
g of x is equal to start absolute value x plus 3 end absolute value
37

Which function has a domain and range that includes all real values?

A
Image with description On a coordinate plane, the x and y axes range from negative 8 to 8 in increments of 2. The graph has an inverted v-shaped curve with a vertex at the origin. One line extends infinitely into the third quadrant passing through (negative 4 comma negative 4). The other line extends infinitely into the fourth quadrant passing through (4 comma negative 4).
B
Image with description On a coordinate plane, the x-axis ranges from negative 6 to 10 in increments of 2, and the y-axis ranges from negative 10 to 8 in increments of 2. The graph has a straight line with a positive slope, goes through (0 comma negative 4), and (2 comma 0). It extends infinitely in both directions.
C
Image with description On a coordinate plane, the x and y axes range from negative 8 to 8 in increments of 2. The graph has a parabola that opens up with a vertex at the origin. It passes through (negative 2 comma 3) and (2 comma 3).
D
Image with description On a coordinate plane, the x-axis ranges from negative 6 to 10 in increments of 2, and the y-axis ranges from negative 6 to 10 by 2. A smooth curve starts from (2 comma 2), goes up, and passes through (6 comma 4).
38

Which statement compares the ranges of the functions?

A
Since the range of f of x is limited to y is greater than or equal to negative 4 and the range of g of x is limited to y is less than or equal to 0 , the ranges overlap for the values negative 4 is less than or equal to y comma y is less than or equal to 0 .
B
The ranges of both f of x and g of x are limited to y is less than or equal to negative 1 .
C
Since the range of f of x is limited to y is less than or equal to 0 and the range of g of x is limited to y is greater than or equal to negative 4 , the ranges overlap for the values negative 4 is less than or equal to y comma y is less than or equal to 0 .
D
The ranges of both f of x and g of x are limited to y is greater than or equal to negative 1 .
39

Which function has the greatest x -intercept?

A
f of x is equal to 3 x minus 9
B
h of x is equal to 2 to the x th power minus 16
C
g of x is equal to start absolute value x plus 3 end absolute value
D
j times x is equal to negative 5 times open paren x minus 2 close paren squared
40

Which statements comparing the functions are true? Choose three correct answers.

A
Only f of x and h of x have x -intercepts.
B
The range of h of x has more values than the other ranges.
C
The maximum of g of x is greater than the other maximums.
D
Only f of x and h of x have y -intercepts.
E
The minimum of h of x is less than the other minimums.

Did you find these answers helpful?

More from this Course

Quiz
20 verified answers

Quiz

Quiz
20 verified answers

Quiz

Quiz
10 verified answers

Quiz