# Lesson Worksheet: Graphs of Functions Mathematics

In this worksheet, we will practice representing a relation between two variables using graphs and using this to solve real-world problems.

Q1:

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 . • AA, C, E
• BI, H, G
• CA, C, D
• DH, I, G
• EB, C, D

Q2:

Omar rides his bike at a steady rate of 15 miles per hour. The function shows how time relates to the distance . Which graph represents this function?

• A • B • C • D • E Q3:

By making a table of values, determine which of the following graphs represents the equation .

• A • B • C • D • E Q4:

Consider the function .

Fill in the table.

 𝑥 𝑦=𝑓(𝑥) −2 0 2 ⋯ ⋯ ⋯
• A
 𝑥 𝑦=𝑓(𝑥) −2 0 2 1 5 1
• B
 𝑥 𝑦=𝑓(𝑥) −2 0 2 8 −2 1
• C
 𝑥 𝑦=𝑓(𝑥) −2 0 2 9 5 1
• D
 𝑥 𝑦=𝑓(𝑥) −2 0 2 5 0 −1
• E
 𝑥 𝑦=𝑓(𝑥) −2 0 2 1 −2 9

Identify the three points that lie on the line . • AH, F, J
• BA, C, E
• CH, I, G
• DB, C, D
• EI, H, J

Q5:

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

Q6:

Which of the following graphs represents the function ?

• A • B • C • D • E Q7:

The table shows a linear function. Which of the following graphs represents the function?

 𝑥 𝑓(𝑥) −2 −1 0 2 4 6
• A • B • C • D • E Q8:

What function is represented in the figure below? • A
• B
• C
• D

Q9:

The following graph shows the money that Noura earns. Write an equation to represent the relationship between dollars and time.

• A
• B
• C
• D
• E

Q10:

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 . • AA, C, E
• BI, H, G
• CA, C, D
• DH, I, G
• EB, C, D