# 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.

0 | 1 | ||

- A
0 1 - B
0 1 3 - C
0 1 8 3 - D
0 1 3 - E
0 1 3 0

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.

0 | 2 | ||

- A
0 2 1 5 1 - B
0 2 8 1 - C
0 2 9 5 1 - D
0 2 5 0 - E
0 2 1 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.

−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?

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.

0 | 1 | ||

- A
0 1 - B
0 1 3 - C
0 1 8 3 - D
0 1 3 - E
0 1 3 0

Identify the three points that lie on the line .

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