Question

What is the parent function of the following graph?

Answer 1

X^4 because it has 4 zeroes ( the graph crosses the x axis 4 times

Answer 2

The parent function of the given graph is:

Option: C

`F(x)=x^4`

Explanation:

Since, the graph of the function has four real zeros this means that the parent function must be a function of degree four.

Also, we know that if the degree of the parent function would be odd then the end behavior of the graph ( i.e. the behavior of the graph when x tends to infinity and when x tends to minus infinity ) must be in opposite direction.

But here the graph is in the same direction.

Hence, the degree of the function is four i.e. even.

From the given choice the choice that best matches the condition is:

`F(x)=x^4`