AnswersTestTest

Test — Test Answers

25 verified answers1 views
1
Free Preview

Which of the following is an even function?

A
g of x is equal to open paren x minus 1 close paren squared plus 1
B
g of x is equal to 4 x plus 2
C
g of x is equal to 2 x
D
g of x is equal to 2 x squared plus 1
2
Free Preview

Given f of x is equal to 3 x minus 1 and g of x is equal to 2 x minus 3 , for which value of x does g of x is equal to f of 2 ?

A
x is equal to 2
B
x is equal to 3 halves
C
x is equal to 4
D
x is equal to 5 halves
3

Mark is solving an equation where one side is a quadratic expression and the other side is a linear expression. He sets the expressions equal to y and graphs the equations. What is the greatest possible number of intersections for these graphs?

A
two
B
one
C
infinitely many
D
none
4

The value, cap v times m , of a comic book m months after publication has an average rate of change of negative 0 point 0 4 between m is equal to 36 and m is equal to 60 Which statement must be true?

A
The value of the comic book decreased by a total of 0 point 0 4 dollars between m is equal to 36 and m is equal to 60 .
B
The value of the comic book increased by an average of 0 point 0 4 dollars each month between m is equal to 36 and m is equal to 60 .
C
The value of the comic book decreased by an average of 0 point 0 4 dollars each month between m is equal to 36 and m is equal to 60 .
D
The value of the comic book increased by a total of 0 point 0 4 dollars between m is equal to 36 and m is equal to 60 .
5

To determine whether a graph of a relation is also a function, Shayla declares that the y -axis is a vertical line and counts the number of times that the graph intersects the y -axis. If the graph has exactly one y -intercept, Shayla concludes that the graph shows a function. In all other cases, she declares that it is not a function. Is Shayla applying the vertical line test correctly?

A
Yes, because multiple y -intercepts represent multiple x -values being mapped to y is equal to 0 .
B
Yes, because the y -axis represents all vertical lines of the x -values.
C
No, because the y -axis is a horizontal line.
D
No, because using the y -axis tests only whether x is equal to 0 is mapped to multiple values.
6

The cost, c , of a ham sandwich at a deli varies directly with the number of sandwiches, n If c is equal to 54 dollars when n is 9 , what is the cost of the sandwiches when n is 3 ?

A
21 dollars
B
48 dollars
C
27 dollars
D
18 dollars
7

If A times x is equal to 2 x minus 4 and b times x is equal to x plus 2 , which of the following expressions produces a quadratic function?

A
open paren A minus b close paren times x
B
open paren A plus b close paren times x
C
A b times x
D
open paren A over b close paren times x
8

Which graph can be used to find the solution(s) to 4 x is equal to negative 4 x ?

A
Image with description On a coordinate plane, the scale on the x and y axes ranges from negative 6 to 6 with an interval of 1 unit. One of the lines passes through (1 comma 4) and (negative 1 comma negative 4). The other line goes through (1 comma negative 4) and (negative 1 comma 4).
B
Image with description On a coordinate plane, the scale on the x and y axes ranges from negative 6 to 6 with an interval of 1 unit. One of the lines passes through (4 comma 0) and (0 comma negative 4). The other line goes through (0 comma 4) and (negative 4 comma 0).
C
Image with description On a coordinate plane, the scale on the x and y axes ranges from negative 6 to 6 with an interval of 1 unit. One of the lines passes through (4 comma 0) and (2 comma 2). The other line goes through (negative 4 comma 0) and (negative 2 comma 2).
D
Image with description On a coordinate plane, the scale on the x and y axes ranges from negative 6 to 6 with an interval of 1 unit. There are two lines and both the lines are parallel to x-axis. One passes through (0 comma negative 4) and the other line goes through (0 comma 4).
9

If u times x is equal to x to the 5th power minus x to the 4th power plus x squared and v times x is equal to negative x squared , which expression is equivalent to open paren u over v close paren times x ?

A
negative x cubed plus x squared minus 1
B
x cubed minus x squared plus 1
C
x cubed minus x squared
D
negative x cubed plus x squared
10

If f of x is an even function and open paren 6 comma 8 close paren is one the points on the graph of f of x , which reason explains why open paren negative 6 comma 8 close paren must also be a point on the graph?

A
The graph has rotational symmetry, so the point will be reflected across the y -axis.
B
The graph has rotational symmetry, so the point will be rotated 90 degrees about the origin.
C
Since the function is even, the outputs of a negative x -value and a positive x -value are the same.
D
Since the function is even, the outputs of a negative y -value and a positive y -value are the same.
11

Which of the following is an odd function?

A
f of x is equal to x cubed plus 5 x squared plus x
B
f of x is equal to x squared plus x
C
f of x is equal to square root of x
D
f of x is equal to negative x
12

The table shows how far a distance runner has traveled since the race began. What is her average rate of change, in miles per hour, during the interval 0 point 7 5 to 1 point 0 0 hours? Time Elapsed (Hours) Miles Traveled (Miles) 0 point 5 0 2 point 0 0 0 point 7 5 3 point 5 0 1 point 0 0 4 point 7 5

A
6 point 0 0 miles per hour
B
5 point 5 0 miles per hour
C
4 point 7 5 miles per hour
D
5 point 0 0 miles per hour
13

Given f of x is equal to 17 minus x squared , what is the average rate of change in f of x over the interval left bracket 1 comma 5 right bracket ?

A
negative 1 half
B
1 fourth
C
1
D
negative 6
14

Russ is solving an equation where both sides are linear expressions. He sets the expressions equal to y and graphs the system finding that they are the same line. How should Russ interpret this outcome?

A
There are infinitely many intersection points.
B
There is exactly one intersection point.
C
There are exactly two intersection points.
D
There are no intersection points.
15

If f of x is equal to 7 plus 4 x and g of x is equal to 1 over 2 x , what is the value of open paren f over g close paren of 5 ?

A
27 tenths
B
160
C
11 halves
D
270
16

Which graph represents the same relation as the table? x f of x negative 2 5 0 1 1 negative 1 2 negative 3

A
Image with description On a coordinate plane, with x-axis from negative 5 to 5, y-axis from negative 5 to 5, 8 points are plotted. The points are (negative 2 comma 0), (0 comma 5), (0 comma 1), (0 comma 0), (0 comma negative 1), (0 comma negative 3), (1 comma 0), (2 comma 0).
B
Image with description On a coordinate plane, with x-axis from negative 5 to 5, y-axis from negative 5 to 5, 4 points are plotted. The points are at (negative 2 comma 5), (negative 1 comma 1) , (0 comma negative 1), and (negative 2 comma negative 3).
C
Image with description On a coordinate plane, with x-axis from negative 5 to 5, y-axis from negative 5 to 5 , 4 points are plotted. The points are (negative 2 comma 5), (negative 1 comma 1) , (0 comma negative 1), and (negative 2 comma negative 3).
D
Image with description On a coordinate plane comma with x-axis from negative 5 to 5, y-axis from negative 5 to 5, 4 points are plotted. The points are (negative 2 comma 5), (negative 1 comma 1), (0 comma negative 1), and (negative 2 comma negative 3).
17

Given f of x is equal to 10 minus 2 x , find f of 7

A
56
B
3
C
negative 4
D
7
18

Which graph represents an odd function?

A
Image with description On a coordinate plane, the x and y axes range from negative 6 to 6 in increments of 1. The graph has 6 points. The points are (negative 5 comma 3), (negative 3 comma 1), (negative 1 comma 1), (1 comma 3), (3 comma negative 5), (5 comma negative 1).
B
Image with description On a coordinate plane, the x and y axes range from negative 6 to 6 in increments of 1. The graph has 11 points. The points are (negative 4 comma 3), (negative 4 comma 4), (negative 3 comma 5), (negative 2 comma 1) , (negative 1 comma negative 1), (0 comma negative 3), (1 comma negative 1), (2 comma 1), (3 comma 5), (4 comma 3), and (4 comma 4).
C
Image with description On a coordinate plane, the x and y axes range from negative 6 to 6 in increments of 1. The graph has 8 points. The points are (negative 4 comma 0), (negative 3 comma 1), (negative 2 comma negative 3), (negative1 comma negative 2), (1 comma 2), (2 comma 3), (3 comma negative 1), and (4 comma 0).
D
Image with description On a coordinate plane, the x and y axes range from negative 6 to 6 in increments of 1. The graph has 8 points. The points are (negative 4 comma 2), (negative 3 comma negative 1), (negative 1 comma negative 3), (0 comma 1), (1 comma 0), (2 comma negative 4), (4 comma 5), and (5 comma 4).
19

If f of x is equal to absolute value of x plus 9 and g of x is equal to negative 6 , which describes the range of open paren f plus g close paren of x ?

A
open paren f plus g close paren of x is less than or equal to 6 for all values of x
B
open paren f plus g close paren of x is greater than or equal to 3 for all values of x
C
open paren f plus g close paren of x is less than or equal to 3 for all values of x
D
open paren f plus g close paren of x is greater than or equal to 6 for all values of x
20

Becca graphs the equations y is equal to negative 3 times open paren x minus 1 close paren and y is equal to x minus 5 to solve the equation negative 3 times open paren x minus 1 close paren is equal to x minus 5 Her graph is shown. What are the solution(s) of negative 3 times open paren x minus 1 close paren is equal to x minus 5 ?

A
2
B
1 and 5
C
negative 3
D
negative 5 and 3

Did you find these answers helpful?

More from this Course

Quiz
23 verified answers

Test