Question

What type of parent function is this? What is the domain and range of this function? write it in interval notation

Answer 1

See below.

Explanation:

This is a parabola. Therefore, it is a quadratic parent function. The quadratic parent function is:

`f(x)=x^2`

The domain of the parent quadratic function is all real numbers.

The range of the parent quadratic function is all y-values greater than or equal to 0. From the graph, we can see that the graph never goes below 0.

So, the domain in interval notation is:

`(-\infty,\infty)`

And the range in interval notation is:

`[0,\infty)`

This is interpreted as all values greater than or equal to 0.

And we're done!