Question

Complete the left half of the graph of y=f(x) for each of the following conditions:
(a) f(-x) = f(x)
(b) f(-x)= -f(x)
How exactly do I solve this? Isn't y=f(x) essentially y=y? I just need a little help on how to understand this problem :\

Answer 1

In the case of f(-x) = f(x), the left side would just be a reflection of the right side.

Answer 2

In the case of f(-x) = -f(x) you would reflect horizontally and then vertically.

Answer 3

y=f(x) just means that your y coordinate will be determined by f(x).

Answer 4

Ah, I see. That makes a lot more sense, thank you!