Question

Create an input-output table and graph the function y = 3x squared - 1

Answer 1

x | y

-1 | 2

-0.5 | -0.25

0 | -1

0.5 | -0.25

1 | 2

The graph is attached.

Explanation:

You have the following function:

`y=3x^(2)-1`

By definition, the input in the independent value and the output is the dependent value.

Therefore, you must give values to x (input values) and substitute them into the function to obtain y for each value (output values).

Then:

x=-1

`y=3(-1)^(2)-1=2`

x=-0.5

`y=3(-0.5)^(2)-1=-0.25`

x=0

`y=3(0)^(2)-1=-1`

x=0.5

`y=3(0.5)^(2)-1=-0.25`

x=1

`y=3(1)^(2)-1=2`

Table:

x | y

-1 | 2

-0.5 | -0.25

0 | -1

0.5 | -0.25

1 | 2

The graph is attached.