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Comparing Characteristics of Functions Answers

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Which statements can be used to compare the characteristics of the functions? Select two options.

A
f(x) has an all negative domain.
B
g(x) has the greatest maximum value.
C
All three functions share the same range.
D
h(x) has a range of all negative numbers.
E
All three functions share the same domain.
2
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Which statements accurately compare the functions on the graph? Select two options.

A
The square root and quadratic function share a y-intercept.
B
The square root and absolute value function share an x-intercept.
C
The range of the square root and quadratic function are the same.
D
The range of the square root and absolute value function are the same.
E
The quadratic function and the absolute value function have a minimum while the square root function has a maximum.
3

Consider the function.

Question illustration
A
Option
Option A
B
Option
Option B
C
f(x) = 2 |x + 2|
D
f(x) = |x – 4|
4

The tables show linear functions representing the estimated time it takes for the math and language arts portions of standardized tests with different numbers of questions.

Question illustration
A
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.
B
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.
C
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.
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.
5

Which function has the greatest maximum range value?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

Which characteristics do the functions have in common? Select three options.

A
range
B
domain
C
maximum
D
x-intercept
E
y-intercept
7

The tables show functions representing the growth of two types of bacteria on certain days within an experiment that lasted a total of 10 days.

Question illustration
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 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.
D
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.
8

Which statements comparing the functions are true? Select three options.

A
Only f(x) and h(x) have y-intercepts.
B
Only f(x) and h(x) have x-intercepts.
C
The minimum of h(x) is less than the other minimums.
D
The range of h(x) has more values than the other ranges.
E
The maximum of g(x) is greater than the other maximums.
9

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

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

Which function has the greatest x-intercept?

A
f(x) = 3x – 9
B
g(x) = |x + 3|
C
h(x) = 2x – 16
D
j(x) = –5(x – 2)2
11

Two different functions are represented.

Question illustration
A
Neither function A nor function B has an x-intercept.
B
Neither function A nor function B has a y-intercept.
C
The domain and range of both functions contain only positive numbers.
D
The domain and range of both functions contain only positive numbers and zero.
12

Two different functions are shown.Function A:Function B:

Question illustration
A
The x-intercept in function B is one-third as large as the x-intercept in function A.
B
The x-intercept in function B is three times as large as the x-intercept in function A.
C
The distance between the x-intercepts in function A is half the distance between the x-intercepts of function B.
D
The distance between the x-intercepts in function A is twice the distance between the x-intercepts of function B.
13

Which function has a range limited to only negative numbers?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
14

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

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
15

Consider the functions.

Question illustration
A
The minimums of g(x) and h(x) are both in the first quadrant.
B
The minimums of g(x) and h(x) are both in the third quadrant.
C
The minimum of h(x) is farther right and up from the minimums of f(x) and g(x).
D
The minimum of h(x) is farther left and down from the minimums of f(x) and g(x).

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