Find the range of the function for the given domain.
f(x) = 3x – 5; {–3, 0, 1, 5}
(1 point)
Responses
{–14, –5, –2, 10}
{–14, –5, –2, 10}
{–9, 0, 3, 15}
{–9, 0, 3, 15}
{–5, –2, –1, 3}
{–5, –2, –1, 3}
{0, 3, 4, 8}
To find the range of the function, we substitute each value in the domain into the function and determine the corresponding output.
For the given function f(x) = 3x - 5, we evaluate f(-3), f(0), f(1), and f(5):
f(-3) = 3(-3) - 5 = -9 - 5 = -14
f(0) = 3(0) - 5 = 0 - 5 = -5
f(1) = 3(1) - 5 = 3 - 5 = -2
f(5) = 3(5) - 5 = 15 - 5 = 10
Therefore, the range of the function for the given domain {–3, 0, 1, 5} is {-14, -5, -2, 10}. Answer: {–14, –5, –2, 10}.