Question

Which is the graph of an odd degree root parent function?

Answer 1

The correct answer is Option 4, the fourth graph

Explanation:

We will go through why the other graphs are not the correct answer and then explain why the fourth is indeed the correct answer.

Option 1 is wrong because it has the general shape of the graph of an even valued function. These functions are either concave up or concave down.

Option 2 is wrong because it has the general shape of the cubic function. These functions are defined for both negative and positive values of x.

Option 3 is wrong because it is not defined for negative values of x. It has the general shape of the square root function.

Option 4 is correct because it has the general shape of the function
`f(x)=\sqrt[3]{x}`. Functions of this kind are defined for both negative and positive values of x.