Question

9. Is the t-chart linear or non-linear?
10.
*Hint: Figure out
the function

Answer 1

From the t-chart, we determine that function of the equation
`y=x^2` is a quadratic function. So, the graph of
`y=x^2` is parabola.

Therefore, the t-chart is non-linear.

The graph is attache below.

Explanation:

Given the table

x y

-2 4

4 16

5 25

From the table, it is clear that the rate at which y is changing with respect to x is NOT CONSTANT. Hence, the t-chart is NON-LINEAR,

We also see that the value of y is obtained we take the square of x value.

So the equation from the table would be

`y=x^2`

The equation suggests that
`y=x^2` is NON-Linear.

As the equation
`y=x^2` is a quadratic function. So, the graph of
`y=x^2` is parabola. Therefore, the t-chart is non-linear.

The graph is attache below.