Chapter 9.8, Problem 4CYU

To determine

To calculate: To graph the function

Answer to Problem 4CYU

Graph is plotted

Explanation of Solution

Given information: Function is $y=2x^2-2$

Calculation:

Function is given as

  $y=2x^2-2$

When $x=0$

  $y=2{\left(0\right)}^2-2=0-2=-2$

When $x=1$

  $y=2{\left(1\right)}^2-2=2-2=0$

When $x=-1$

  $y=2{\left(-1\right)}^2-2=2-2=0$

When $x=2$

  $y=2{\left(2\right)}^2-2=8-2=6$

When $x=-2$

  $y=2{\left(-2\right)}^2-2=8-2=6$

When $x=3$

  $y=2{\left(3\right)}^2-2=18-2=16$

When $x=-3$

  $y=2{\left(-3\right)}^2-2=18-2=16$

Function table is

x	y
-3	16
-2	6
1	0
0	-2
1	0
2	6
3	16

Plotting the points on graph:

  

Conclusion:

Hence, graph is plotted