Question

Evaluate the function at the specified value(s) of the independent variable and simplify.
f(x)= -1/6x if x> -4
f(x)= 5-3x^2 if x≤ -4 Evaluate f(1) and f(-4)

Answer 1

The above function is known as a "piecewise function." A piecewise function is a function that has two or more parts.

To answer your question:

to solve for f(1):

1 > -4, so f(1) = -1 / (6 * 1) = -1/6

to solve for f(-4):

\[-4 \le -4\]

so f(-4) = 5 - 3*(-4)^2

= 5 - 3 * 16

= 5 - 48

= -43

Hope I helped!