Question

What type of function will fit these data points?

Linear
Quadratic
Exponential
None of the above

Answer 1

Answer: quadratic

Explanation:

I guess if you can search up a picture of each function, you will be able to understand it. A linear graph is linear (as its name suggests), as a result, it never "goes back" to the value that has showed up. For example, the linear function y=3x+2. If you plug in a random value of y (let's say 10), then solve for x, you will only get 1 value of x. The data table that you have indicates that the y value of 0 has appeared twice. Thus, the function cannot be linear. The same thing applies to an exponential function. A quadratic function, however, can have to x values that result in the same y value. For example, the function y =
`x^2`-1. When you set y equal to zero....

0 =
`x^2`-1

0 = (x+1)(x-1)

x = -1 or 1.

Hope this helps :)