Question
Find the range of the function for the domain
.
(1 point)
f (x) = 4x − 1
{−1, 0, 1, 2, 3}
{−5, −3, 0, 7, 11}
{−5, −4, −3, −2, −1}
{−11, −7, −3, 1, 5}
{−5, −1, 3, 7, 11}
.
(1 point)
f (x) = 4x − 1
{−1, 0, 1, 2, 3}
{−5, −3, 0, 7, 11}
{−5, −4, −3, −2, −1}
{−11, −7, −3, 1, 5}
{−5, −1, 3, 7, 11}
Answers
GPT 3.5
To find the range of the function, we need to determine the set of all possible output values.
We can do this by plugging in each value from the given domain into the function and listing the resulting outputs.
When we plug in -1, 0, 1, 2, and 3 into the function f(x) = 4x - 1, we get the following outputs:
f(-1) = 4(-1) - 1 = -5
f(0) = 4(0) - 1 = -1
f(1) = 4(1) - 1 = 3
f(2) = 4(2) - 1 = 7
f(3) = 4(3) - 1 = 11
So the range of the function is {-5, -1, 3, 7, 11}.
Therefore, the correct answer is {−5, −1, 3, 7, 11}.
We can do this by plugging in each value from the given domain into the function and listing the resulting outputs.
When we plug in -1, 0, 1, 2, and 3 into the function f(x) = 4x - 1, we get the following outputs:
f(-1) = 4(-1) - 1 = -5
f(0) = 4(0) - 1 = -1
f(1) = 4(1) - 1 = 3
f(2) = 4(2) - 1 = 7
f(3) = 4(3) - 1 = 11
So the range of the function is {-5, -1, 3, 7, 11}.
Therefore, the correct answer is {−5, −1, 3, 7, 11}.