Question

Which statement is true of the graphed function? (PICTURE OF GRAPH BELOW)a) More information is needed to determine whether the graphed function is even, odd, or neither.b)The function is neither an even nor an odd function.c) The function is an even function.d) the function is an odd function

Answer 1

To determine if a function is even or odd, we start from its definition.

While for an EVEN FUNCTION we have: F(x) = F(-X), for an ODD FUNCTION we have F(-X) = -F(X)

Now, from this, we can check that all the values the function achiever for any X value, the -X has same height. The function presents a symmetry over the Y-axis, and this implies in a function to be an EVEN FUNCTION.

And from the solution developed above, the only statement that is true is the

C) The function is an even function.