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
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