Question

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

Answer 1

Answer:

x      |      y  

-1      |      2  

-0.5  |   -0.25

0      |      -1    

0.5   |    -0.25

1       |       2  

The graph is attached.

Step-by-step 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.