AnswersAlgebra IIRelationships Between Quantities

Relationships Between Quantities — Test Answers

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1
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If f of x and its inverse function, f inverse of x , are both plotted on the same coordinate plane, where is their point of intersection?

A
open paren 1 comma 4 close paren
B
open paren 0 comma 6 close paren
C
open paren 3 comma 0 close paren
D
open paren 2 comma 2 close paren
2
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What is the vertex of the absolute value function?

A
open paren 4 comma 1 close paren
B
open paren 4 comma negative 1 close paren
C
open paren 1 comma negative 4 close paren
D
open paren 1 comma 4 close paren
3

Whose work is correct?

A
Jake’s work
B
Malik’s work
C
Elise’s work
D
Xiao’s work
4

Which function is most likely graphed on the coordinate plane?

A
f of x is equal to 4 x plus 13
B
f of x is equal to negative 5 x minus 19
C
f of x is equal to negative 4 x plus 12
D
f of x is equal to 3 x minus 11
5

If A times x is equal to 3 x plus 1 and b times x is equal to square root of x minus 4 end root , what is the domain of open paren b circ A close paren times x ?

A
left bracket 0 comma infinity right parenthesis
B
left bracket 4 comma infinity right parenthesis
C
open paren negative infinity comma infinity close paren
D
left bracket 1 comma infinity right parenthesis
7

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 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).
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 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).
9

If f of x is equal to 1 ninth x minus 2 , what is f inverse of x ?

A
f inverse of x is equal to 1 ninth x plus 2
B
f inverse of x is equal to 9 x plus 2
C
f inverse of x is equal to 9 x plus 18
D
f inverse of x is equal to negative 2 x plus 1 ninth
10

The formula for the area of a trapezoid is cap A is equal to 1 half open paren b sub 1 plus b sub 2 close paren h When this equation is solved for b sub 1 , one equation is b sub 1 is equal to 2 cap A over h minus b sub 2 Which of the following is an equivalent equation to find b sub 1 ?

A
b sub 1 is equal to the fraction with numerator 2 cap A minus b sub 2 h and denominator h
B
b sub 1 is equal to the fraction with numerator h and denominator 2 cap A minus b sub 2 h
C
b sub 1 is equal to h of open paren 2 cap A minus b sub 2 h close paren
D
b sub 1 is equal to 2 cap A minus b sub 2 h
11

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
Since the function is even, the outputs of a negative x -value and a positive x -value are the same.
B
The graph has rotational symmetry, so the point will be reflected across the y -axis.
C
Since the function is even, the outputs of a negative y -value and a positive y -value are the same.
D
The graph has rotational symmetry, so the point will be rotated 90 degrees about the origin.
12

The standard diameter of a golf ball is 42 point 6 7 mm. A golf ball factory does quality control on the balls it manufactures. Golf balls are randomly measured to ensure the correct size. One day, an inspector decides to stop production if the discrepancy in diameter is more than 0 point 0 0 2 mm. Which function could represent this situation?

A
f of x is equal to absolute value of x minus 42 point 6 7
B
f of x is equal to 42 point 6 7 minus absolute value of x
C
f of x is equal to x minus absolute value of 42 point 6 7
D
f of x is equal to start absolute value 42 point 6 7 minus x end absolute value
13

Jamilla solved the inequality |x+b|⁢◻ 2 and graphed the solution as shown. Open image in full-screen view What is the value of b and the missing symbol in Jamilla’s inequality?

A
b is equal to 1 , is less than or equal to
B
b is equal to negative 1 , is greater than or equal to
C
b is equal to negative 1 , is less than or equal to
D
b is equal to 1 , is greater than or equal to
14

Given the equation the fraction with numerator 2 x plus 2 and denominator y is equal to 4 w plus 2 what is the value of x ?

A
x is equal to 4 y w plus 2 y minus 2
B
x is equal to 2 y w plus y minus 1
C
x is equal to y w plus y minus 1
D
x is equal to 2 y w plus y minus 2
15

If c times x is equal to 4 x minus 2 and d times x is equal to x squared plus 5 x , what is open paren c circ d close paren times x ?

A
4 x squared plus 20 x minus 2
B
4 x cubed plus 18 x squared minus 10 x
C
x squared plus 9 x minus 2
D
16 x squared plus 4 x minus 6
16

Which graph represents y minus 1 is equal to 2 times open paren x minus 2 close paren ?

A
Image with description On a coordinate plane with x and y axes marked with negative 6 to 6, there is a straight line with a positive slope passing through the points (negative 2 comma negative 5), (0 comma negative 1), (0 point 5 comma 0) and (2 comma 3).
B
Image with description On a coordinate plane with x and y axes marked with negative 6 to 6, there is a straight line with a negative slope passing through the points (0 comma 2), (1 comma negative 1).
C
Image with description On a coordinate plane with x and y axes marked with negative 6 to 6, there is a straight line with a positive slope passing through the points (0 comma negative 3), (1 point 5 comma 0) and (3 comma 3).
D
Image with description On a coordinate plane with x and y axes marked with negative 6 to 6, there is a straight line with a negative slope passing through the points (0 comma 4) and (2 comma 0).
17

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 an average of 0 point 0 4 dollars each month between m is equal to 36 and m is equal to 60 .
B
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 .
C
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 .
D
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 .
18

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
A b times x
B
open paren A minus b close paren times x
C
open paren A plus b close paren times x
D
open paren A over b close paren times x
20

The formula for the volume of a sphere is cap v is equal to 4 thirds pi r cubed What is the formula solved for r ?

A
r is equal to cube root of 3 cap v over 4 pi
B
r cubed is equal to 3 cap v minus 4 pi
C
r is equal to cube root of 3 cap v minus 4 pi
D
r is equal to 3 cap v plus 4 pi

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