Odd or Even Functions

Question

Let g(x) be a function such that g(3)=4 and g(2)=-10

a. If g(x) is an odd function then, g(-3) = 

b. If g(x) is an even function then, g(-2) = 

Answer 1

If g(x) is an odd function, then g(-x) = -g(x)

a. g(-3) must equal to -g(3) = -4

 

If g(x) is an even function, then g(-x) = g(x)

b. g(-2) = g(2) = -10

Answer 2

a. -g(3), -4

b. g(2), -10