Chapter 9.9, Problem 14PPS

To determine

To calculate: To graph the cubic function

Explanation of Solution

Given information: Cubic function is $y=-x^3+1$

Calculation:

Function is given as

  $y=-x^3+1$

When $x=0$

  $y=-{\left(0\right)}^3+1=-0+1=1$

When $x=1$

  $y=-{\left(1\right)}^3+1=-1+1=0$

When $x=-1$

  $y=-{\left(-1\right)}^3+1=1+1=2$

When $x=2$

  $y=-{\left(2\right)}^3+1=-8+1=-7$

When $x=-2$

  $y=-{\left(-2\right)}^3+1=8+1=9$

Function table is

x	y
-2	9
1	2
0	1
1	0
2	-7

Plotting the points on graph:

  

Conclusion:

Hence, graph is plotted