﻿ Function Graph Worksheet | Problems & Solutions

# Function Graph Worksheet

Function Graph Worksheet
• Page 1
1.
Identify the graph for the table.
 $x$ 2 3 4 5 $y$ 0 1 2 3

 a. Graph 2 b. Graph 1 c. Graph 4 d. Graph 3

#### Solution:

The graph is plotted by taking the x, y values.

The graph matches with Graph 2.

Therefore, Graph 2 represents the table.

2.
Identify the graph that suits the table.

 a. Graph 4 b. Graph 1 c. Graph 3 d. Graph 2

3.
Identify the graph that suits the table.

 a. Graph 2 b. Graph 3 c. Graph 4 d. Graph 1

4.
Which graph suits the table?

 a. Graph 3 b. Graph 4 c. Graph 2 d. Graph 1

5.
Identify the graph that suits the table.

 a. Graph 3 b. Graph 1 c. Graph 4 d. Graph 2

6.
Jerald ordered pizzas and cookies for his birthday. The cost of each pizza was $9 and that of a cookie packet was$2. The equation 9$x$ + 2$y$ = 36 describes the combination of $x$ pizzas and $y$ cookie packets bought for $36. Which of the graphs represents the equation?  a. Graph 1 b. Graph 3 c. Graph 4 d. Graph 2 #### Solution: To graph the equation, we need to find the x-intercept and y-intercept. To find the x-intercept, substitute y = 0 in the equation. 9x + 2(0) = 36 [Substitute y = 0.] 9x = 36 [Simplify.] x = 4 [Divide each side by 9.] To find the y-intercept, substitute x = 0 in the equation. 9(0) + 2y = 36 [Substitute x = 0.] 2y = 36 [Simplify.] y = 18 [Divide each side by 2.] Plot the points (4, 0), (0, 18) and join them as shown in Graph 2. So, Graph 2 is the graph representing the equation. Correct answer : (4) 7. Which of the graphs represents the equation $y$ = $x$ + 4 ?  a. Graph 1 b. Graph 4 c. Graph 2 d. Graph 3 #### Solution: y = x + 4 [Given Equation.] 0 = x + 4 [To find x-intercept substitute y = 0.] x = - 4 [Solve for x.] The x-intercept is - 4. So, the line crosses the x-axis at the point (- 4, 0). y = 0 + 4 [To find y-intercept substitute x = 0.] y = 4 The y-intercept is 4. So, the line crosses the y-axis at the point (0, 4). Plot the points (- 4, 0) and (0, 4) and draw a line through them. Among the graphs, Graph 1 represents the graph of the equation y = x + 4. Correct answer : (1) 8. Which graph displays the set of ordered pairs given by the rule $y$ = $x$?  a. Graph 2 b. Graph 1 c. Graph 4 d. Graph 3 #### Solution: y = x [Given equation.] Choose any value for x and substitute in the equation. y = 1 [Substitute x = 1.] y = 0 [Substitute x = 0.] y = - 1 [Substitute x = - 1.] So, the graph of the equation y = x passes through the points (- 1, - 1), (0, 0) and (1, 1). The line in the Graph 1 passes through the origin and the points (- 1, - 1) and (1, 1). So, Graph 4 represents the equation y = x. Correct answer : (3) 9. Identify the graph for the table.  $x$ 2 3 4 5 $y$ 0 1 2 3  a. Graph 3 b. Graph 2 c. Graph 1 d. Graph 4 #### Solution: The graph is plotted by taking the x, y values. The graph matches with Graph 2. Therefore, Graph 2 represents the table. Correct answer : (2) 10. Graph the function in the table.  Weeks Savings($) 1 6 2 12 3 18 4 24

 a. Graph 1 b. Graph 2 c. Graph 3 d. None of the above

#### Solution:

Move 1 unit to the right and 6 units up from the origin.

Plot the point, which represents the Savings ($) for 1 Week. Move 2 units to the right and 12 units up from the origin. Draw the point, which represents the Savings ($) for 2 Weeks.

Move 3 units to the right and 18 units up from the origin.

Draw the point, which represents the Savings ($) for 3 Weeks. Move 4 units to the right and 24 units up from the origin. Draw the point, which represents the Savings ($) for 4 Weeks.

Draw a line passing through all the points from the origin.

The graph of the function matches with the graph in choice B.