Answers Algebra 1Functions and Two-Variable Equations

Functions and Two-Variable Equations — Test Answers

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Which value is an input of the function?

negative 2

negative 14

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What is f of 0 ?

Which steps should be used to graph the equation? y minus 4 is equal to 1 third times x plus 2

1. Plot the point negative 2 comma 4 . 2. From that point, count left 1 unit and down 3 units and plot a second point. 3. Draw a line through the two points.

1. Plot the point 2 comma 4 . 2. From that point, count left 3 units and down 1 unit and plot a second point. 3. Draw a line through the two points.

1. Plot the point 2 comma 4 . 2. From that point, count left 1 unit and down 3 units and plot a second point. 3. Draw a line through the two points.

1. Plot the point negative 2 comma 4 . 2. From that point, count left 3 units and down 1 unit and plot a second point. 3. Draw a line through the two points.

Which value is an output of the function?

negative 6

negative 2

What is the range of the function on the graph?

all the real numbers greater than or equal to negative 3

all the real numbers greater than or equal to 0

all the real numbers

all the real numbers greater than or equal to 2

When f of x is equal to negative 3 , what is x ?

negative 1

negative 10

negative 29

negative 3

What is f of 0 ?

12 only

2 and 3 only

negative 2 comma negative 1 comma 1 comma 2 comma and 12

negative 2 comma negative 1 comma 1 comma and 2 only

What is the rate of change for the function represented in the table?

0 point 50 dollars per book

1 point 50 dollars per book

1 point 07 dollars per book

0 point 67 dollars per book

What is the rate of change of the amount earned with respect to hours worked for this function?

3 dollars per hour

2 fifths hours per dollar

1 thirteenth hours per dollar

13 dollars per hour

What is the slope of a line that is parallel to the line shown on the graph?

negative 4

1 fourth

negative 1 fourth

What is the domain of the given function?

start set x such that x is equal to negative 7 comma negative 6 comma negative 2 comma negative 1 comma 0 comma 1 comma 3 comma 9 end set

start set x such that x is equal to negative 6 comma negative 1 comma 0 comma 3 end set

start set y such that y is equal to negative 7 comma negative 6 comma negative 2 comma negative 1 comma 0 comma 1 comma 3 comma 9 end set

start set y such that y is equal to negative 7 comma negative 2 comma 1 comma 9 end set

What is the slope of the line represented by the equation f of t is equal to 2 t minus 6 ?

The slope is 2 and the y -intercept is 6 .

The slope is 2 and the y -intercept is negative 6 .

The slope is 6 and the y -intercept is 2 .

The slope is negative 6 and the y -intercept is 2 .

What is the y -intercept of the function f of x is equal to 4 minus 5 x ?

negative 4

negative 5

What is the slope of a line that is perpendicular to the line y is equal to 1 sixth x plus 4 ?

Answer:

-6

If f of x is equal to 2 x squared plus 1 , what is f of x when x is equal to 3 ?

The point-slope form of the equation of the line that passes through negative 9 comma negative 2 and 1 comma 3 is y minus 3 is equal to 1 half open paren x minus 1 close paren What is the slope-intercept form of the equation for this line?

y is equal to 1 half x minus 4

y is equal to 1 half x plus 5 halves

y is equal to 1 half x plus 2

y is equal to 1 half x minus 7 halves

Alejandro made an error in the steps when determining the equation of the line that is perpendicular to the line 4⁢x−3⁢y=−8 and passes through the point (3,−2). Step Alejandro's Work 1 The equation written in slope-intercept form is y is equal to 4 thirds x plus 8 thirds , which has a slope of 4 thirds 2 The slope of the line perpendicular to the given line is negative 4 thirds 3 Substituting the point and the new slope into point-slope form results in y minus negative 2 is equal to negative 4 thirds times open paren x minus 3 close paren 4 Simplifying, the equation of the line is y plus 2 is equal to negative 4 thirds times open paren x minus 3 close paren Alejandro made his first error in which step?

Step 2

Step 4

Step 1

Step 3

Which equation represents a line that passes through 2 comma negative 1 half and has a slope of 3 ?

y plus 1 half is equal to 3 times open paren x minus 2 close paren

y minus 2 is equal to 3 times open paren x plus 1 half close paren

y minus 3 is equal to 2 times open paren x plus 1 half close paren

y plus 1 half is equal to 2 times open paren x minus 3 close paren

Which equation represents the line that passes through negative 6 comma 7 and negative 3 comma 6 ?

y is equal to negative 1 third x plus 5

y is equal to negative 3 x plus 25

y is equal to negative 3 x minus 11 y

y is equal to negative 1 third x plus 9

Which graph shows a set of ordered pairs that represent a function?

Image with description A coordinate plane with 6 plotted points. The x and y-axes are labeled from negative 5 to 5 in increments of 1. The points are plotted at negative 2 comma 3, negative 2 comma 2, 0 comma 1, 1 comma 1, 4 comma 4, and 1 comma negative 4.

Image with description A coordinate plane with 5 plotted points. The x and y-axes are labeled from negative 5 to 5 in increments of 1. The points are plotted at negative 3 comma 2, negative 3 comma 3, 0 comma 1, 1 comma 3, and 2 comma negative 4.

Image with description A coordinate plane with 6 plotted points. The x and y-axes are labeled from negative 5 to 5 in increments of 1. The points are plotted at negative 2 comma 3, negative 1 comma 2, 1 comma 1, 2 comma 0, 3 comma negative 3, and 4 comma negative 5.

Image with description A coordinate plane with 5 plotted points. The x and y-axes are labeled from negative 5 to 5 in increments of 1. The points are plotted at negative 5 comma 3, negative 3 comma 1, negative 1 comma negative 2, 0 comma negative 2, and 0 comma negative 5.

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Functions and Two-Variable Equations — Test Answers

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