evaluate the following functions for the given values of x

Question

f(3), f(4), and f(-2)

f(x)={ x+5 x<-2 -2x-1 x≥-2

Answer 1

this is known as a piece-wise defined function

since 3 is greater than -2, we use the function f(x) = -2x - 1

therefore, f(3) = -2(3) - 1 = - 6 - 1 = - 7

since 4 is greater than -2, we again use the function f(x) = -2x - 1

therefore, f(4) = -2(4) - 1 = -8 - 1 = -9

since -2 is equal to -2, we also use the function f(x) = -2x -1

therefore, f(-2) = -2(-2) - 1 = 4 - 1 = 3