Question

Let f be a function which is symmetric about the y-axis and decreasing on the closed interval [1,4]. Which of the following functions are increasing [-4,-1]?

A. -f(-x)
B. f(-x)

Answer 1

Draw an xy axis and mark x = 1 and x = 4

Answer 2

The function is decreasing from x = 1 to x = 4, so we might have something like this piece

Answer 3

reflect it over the y axis (since the graph is symmetric with respect to the y axis) to get