Evaluate the function at the given values of the independent variable and simplify.

f(x)=
{x^2)-3 if x is less than or equal to -2
{6x+1 if x > -2

a. f(-3)
b. f(0)
c. f(-2)

How do I solve this/what are the correct answers so I can check my work?

3 answers

I think....
A) -12
B) 1
C)-7
There should be two answers for each because there are two equations.
No, there is one answer for each, since the choice of x determines which equation to use

f(x) = x^2 - 3 , for x ≤ -2
f(x) = 6x+1 , for x > -2

f(-3) = 9 - 3 = 6
f(0) = 6(0) + 1 = 1 , fits 2nd equation
f(-2) = 4-3 = 1 , fits 1st equation.