Question

Verify algebratically if each function is odd, even, or neither. For question #5 only

Answer 1

`\text{ odd}`

Step-by-step explanation:

Here, we want to check if the given function is even or odd

To do that, we find g(x) and g(-x)

If g(x) equals g(-x), the the function is even. Otherwise, the function is odd

We find the functions as follows:

`\begin{gathered} g(x)=7x^3\text{ - x} \\ g(-x)=7(-x)^3-(-x) \\ g(-x)=-7x^3\text{ + x} \end{gathered}`

Finally:

`\begin{gathered} \text{ since g(x) }\\e\text{ g(-x) } \\ \text{Function g(x) is odd} \end{gathered}`