Question

Given the domain values {-3, 0, 3} what is the range for the equation f(x) = −5x + 2? Question options: {-3, 0, 3} {-6, 2, 6} {-15, 0, 15} {-13, 2, 17}

Answer 1

The range is the set of all possible output, as you feed the function with all possible inputs. Since our inputs (domain) are -3, 0, 3, our outputs are

$f(-3) = 15+2 = 17\\f(0)=0+2 = 2\\f(3) = -15+2 = -13$

So, the range is

$\{-13, 2, 17\}$