Function Graph Worksheet

Function Graph Worksheet
  • Page 1
 1.  
Identify the graph for the table.
x2345
y0123



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.


Correct answer : (1)
 2.  
Identify the graph that suits the table.


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


Answer: (c)


Correct answer : (3)
 3.  
Identify the graph that suits the table.

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


Answer: (c)


Correct answer : (3)
 4.  
Which graph suits the table?

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


Answer: (c)


Correct answer : (3)
 5.  
Identify the graph that suits the table.


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


Answer: (b)


Correct answer : (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 9x + 2y = 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.
x2345
y0123


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.
WeeksSavings($)
16
212
318
424


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.


Correct answer : (2)

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