Find the range of the function f(x) = 4x – 1 for the domain {–1, 0, 1, 2, 3}.

Question

(1 point)
Responses

{–5, –3, 0, 7, 11}
{–5, –3, 0, 7, 11}

{–5, –4, –3, –2, –1}
{–5, –4, –3, –2, –1}

{–11, –7, –3, 1, 5}
{–11, –7, –3, 1, 5}

{–5, –1, 3, 7, 11}

Answer 1

To find the range of the function f(x) = 4x - 1 for the given domain {–1, 0, 1, 2, 3}, we need to substitute each element of the domain into the function and determine the corresponding output.

For x = -1:
f(-1) = 4(-1) - 1 = -5

For x = 0:
f(0) = 4(0) - 1 = -1

For x = 1:
f(1) = 4(1) - 1 = 3

For x = 2:
f(2) = 4(2) - 1 = 7

For x = 3:
f(3) = 4(3) - 1 = 11

So, the range of the function for the given domain is {-5, -1, 3, 7, 11}. Hence, the correct option is {–5, –1, 3, 7, 11}.