Need help with a graphing calculus problem?

Question

part of the graph of f(x) is showm for x> or equal to 0.

the points on the graph are (0,0), (1,-1), (2,0), and (3.3)

what if f(x) is an even function. What is the range of g(x)=-3f(2x)?
in interval notation.

what if f(x) is an odd function. What is the range of .5f(x-3)?
in interval notation

Answer 1

f(x) appears to be x^-2x and is a parabola.

A function is odd if f(-x) = - f(x)
In this case f(-x)= x^2+2x which is not = -f(x) so not odd.

A function is even if f(-x) = f(x)
In this case f(-x) not = f(x)

This function is neither odd nor even.

Answer 2

Some functions are neither odd nor even. Maybe this is an example of one.