AnswersAlgebra ILinear and Absolute Value Functions

Practice Test Answers

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1
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Which graph shows a function with a range of all real numbers greater than or equal to negative 1 ?

A
Image with description A V-shaped graph that opens upward, has vertex at 2 comma 1, and passes through the points negative 4 comma 3, and 0 comma 3.
B
Image with description A V-shaped graph that opens upward, has vertex at negative 2 comma negative 1, and passes through the points negative 3 comma 0, and negative 1 comma 0.
C
Image with description A V-shaped graph that opens downward, has vertex at negative 2 comma negative 1, and passes through the points negative 4 comma negative 3, and 0 comma negative 3.
D
Image with description A V-shaped graph that opens downward, has vertex at negative 2 comma 1, and passes through the points negative 3 comma 0, and negative 1 comma 0.
2
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What is the vertex of the graph of f of x is equal to start absolute value x plus 3 end absolute value plus 7 ?

A
7 comma negative 3
B
3 comma 7
C
negative 3 comma 7
D
7 comma 3
3

Which table represents a linear function?

A
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, 'negative 2' Row 3: Column 1, '2'; Column 2, 'negative 10' Row 4: Column 1, '3'; Column 2, 'negative 18' Row 5: Column 1, '4'; Column 2, 'negative 26'
B
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, 'negative 2' Row 3: Column 1, '2'; Column 2, 'negative 5' Row 4: Column 1, '3'; Column 2, 'negative 9' Row 5: Column 1, '4'; Column 2, 'negative 14'
C
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, 'negative 2' Row 3: Column 1, '2'; Column 2, 'negative 6' Row 4: Column 1, '3'; Column 2, 'negative 2' Row 5: Column 1, '4'; Column 2, 'negative 6'
D
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, '1'; Column 2, 'negative 2' Row 3: Column 1, '2'; Column 2, 'negative 4' Row 4: Column 1, '3'; Column 2, 'negative 8' Row 5: Column 1, '4'; Column 2, 'negative 16'
4

What is the constant of variation, k , of the line y is equal to k x through 3 comma 18 and 5 comma 30 ?

A
5 thirds
B
3 fifths
C
3
D
6
5

Raphael graphed the functions g⁡(x)=x+2 and f⁡(x)=x−1. How many units below the y-intercept of g⁡(x) is the y-intercept of f⁡(x)? Open image in full-screen view

A
2 units
B
3 units
C
negative 1 units
D
negative 3 units
6

Mr. Shaw graphs the function f of x is equal to negative 5 x plus 2 for his class. The line contains the point negative 2 comma 12 What is the point-slope form of the equation of the line he graphed?

A
y minus 12 is equal to 2 times open paren x plus 2 close paren
B
y minus 12 is equal to negative 5 times open paren x plus 2 close paren
C
y plus 12 is equal to negative 5 times open paren x minus 2 close paren
D
y plus 12 is equal to 2 times open paren x minus 2 close paren
7

Mrs. Jackson gives the table to her students. x y 4 26 5 23 6 a In order for the function to be linear, what must a be and why?

A
a is equal to 22 because the rate of change is 1 .
B
a is equal to 20 because the rate of change is negative 3 .
C
a is equal to 22 because the rate of change is negative 1 .
D
a is equal to 20 because the rate of change is 3 .
8

Which describes the range of the parent absolute value function?

A
start set y such that y is less than or equal to 0 end set
B
start set y such that y is an integer end set
C
start set y such that y is greater than or equal to 0 end set
D
start set y such that y is a real number end set
9

Which linear function represents the line given by the point-slope equation y minus 8 is equal to 1 half times open paren x minus 4 close paren ?

A
f of x is equal to 1 half x plus 4
B
f of x is equal to 1 half x minus 12
C
f of x is equal to 1 half x minus 10
D
f of x is equal to 1 half x plus 6
10

Which shows a graph of a linear equation in standard form cap A x plus cap b y is equal to cap c , where cap A is equal to 0 , cap b is positive, and cap c is negative?

A
Image with description A coordinate plane with a vertical line passing through (negative 2, negative 4), (negative 2, 0) and (negative 2, 4).
B
Image with description A coordinate plane with a horizontal line passing through (negative 4, 4), (0, 4) and (negative 4, 4).
C
Image with description A coordinate plane with a vertical line passing through (1, negative 4), (1, 0) and (1, 4).
D
Image with description A coordinate plane with a horizontal line passing through (negative 4, negative 3), (0, negative 3) and (4, negative 3).
11

A line is drawn through negative 4 comma 3 and 4 comma 3 Which describes whether or not the line represents a direct variation?

A
The line represents a direct variation because it is horizontal.
B
The line represents a direct variation because negative 4 thirds is equal to 4 thirds .
C
The line does not represent a direct variation because negative 4 times 3 is not equal to 4 times 3 .
D
The line does not represent a direct variation because it does not go through the origin.
12

Timmy writes the equation f of x is equal to 1 fourth x minus 1 He then doubles both of the terms on the right side to create the equation g of x is equal to 1 half x minus 2 . How does the graph of g of x compare to the graph of f of x ?

A
The line of g of x is steeper and has a higher y -intercept.
B
The line of g of x is less steep and has a higher y -intercept.
C
The line of g of x is less steep and has a lower y -intercept.
D
The line of g of x is steeper and has a lower y -intercept.
13

The graph of the equation x minus 2y is equal to 5 has an x -intercept of 5 and a slope of (1)/(2) Which shows the graph of this equation?

A
Image with description A coordinate plane with a line passing through (negative 2, 0) and (0, negative 1).
B
Image with description A coordinate plane with a line passing through (0, negative 2) and (4, 0).
C
Image with description A coordinate plane with a line passing through (0, 0.5) and (1, negative 1.5).
D
Image with description A coordinate plane with a line passing through (negative 3, negative 4) and (5, 0).
14

The graph of f of x is equal to absolute value of x is reflected across the x -axis and translated to the right 6 units. Which statement about the domain and range of each function is correct?

A
Neither the domain nor the range of the transformed function are the same as those of the parent function.
B
Both the domain and range of the transformed function are the same as those of the parent function.
C
The range of the transformed function is the same as the parent function, but the domains of the functions are different.
D
The domain of the transformed function is the same as the parent function, but the ranges of the functions are different.

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