# Lesson Worksheet: Graphing Linear Functions Mathematics

In this worksheet, we will practice graphing linear functions.

Q1:

Determine whether the given figure represents a linear or nonlinear function. • Aa nonlinear function
• Ba linear function

Q2:

Consider the function , . Its graph is given in the following diagram. At which point does the graph of intersect the ?

• A
• B
• C
• D
• E

At which point does the graph of intersect the ?

• A
• B
• C
• D
• E

Q3:

If the linear function given by the rule is represented by a straight line, at which point does it intersect the ?

• A
• B
• C
• D
• E

Q4:

By making a table of values, determine which of the following is the function represented by the graph shown. • A
• B
• C
• D
• E

Q5:

Let us consider the function .

Fill in the table.

 𝑥 𝑦=𝑓(𝑥) −1 0 1 ⋯ ⋯ ⋯
• A
 𝑥 𝑦=𝑓(𝑥) −1 0 1 −19 −11 −3
• B
 𝑥 𝑦=𝑓(𝑥) −1 0 1 −3 −11 3
• C
 𝑥 𝑦=𝑓(𝑥) −1 0 1 −19 8 3
• D
 𝑥 𝑦=𝑓(𝑥) −1 0 1 3 −11 −3
• E
 𝑥 𝑦=𝑓(𝑥) −1 0 1 3 0 −3

Identify the three points that lie on the line . • A, ,
• B, ,
• C, ,
• D, ,
• E, ,

Q6:

Identify which of the graphs represents the function . • A
• B
• C
• D
• E

Q7:

Consider the linear function .

We can draw a straight line to represent this function. Complete the table to find the coordinates of points on the line.

 𝑥 𝑓(𝑥) −2 −1 0 1 2 ⋯ ⋯ ⋯ ⋯ ⋯
• A9, 7, 6, 3, 1
• B9, 7, 5, 3, 1
• C1, 3, 5, 7, 9
• D9, 7, 5, 3, 2

Which of the following is the graph of the function?

• A • B • C • D Which of these points is not on the line?

• A
• B
• C
• D
• E

Q8:

By making a table of values, determine which of the following is the function represented by the graph shown. • A
• B
• C
• D
• E

Q9:

The following table represents a linear function.

 𝑥 𝑓(𝑥) 0 1 2 3 1 3 𝑎 𝑏

Which of the following graphs represents this line?

• A • B • C • D • E Find the values of and .

• A,
• B,
• C,
• D,
• E,

Write the equation of the straight line in the form .

• A
• B
• C
• D
• E

Q10:

Anthony wants to draw the graph of the linear function .

He plotted the points with -coordinates 0, 1, 2, 3, and 4 but made one mistake. Which point is incorrect?

• AE
• BB
• CD
• DA
• EC

What are the correct coordinates of this point?

• A
• B
• C
• D
• E

This lesson includes 27 additional questions and 153 additional question variations for subscribers.