Find the range of the function f(x)=4x−1 %C2%A0for the domain {−1,0,1,2,3} . (1 point) Responses {−5,−3,0,7,11} start set negative 5 comma negative 3 comma 0 comma 7 comma 11 end set {−5,−4,−3,−2,−1} start set negative 5 comma negative 4 comma negative 3 comma negative 2 comma negative 1 end set {−11,−7,−3,1,5} start set negative 11 comma negative 7 comma negative 3 comma 1 comma 5 end set {−5,−1,3,7,11}
The range of the function f(x) = 4x - 1 for the domain {-1, 0, 1, 2, 3} is {−5,−1,3,7,11}.
To find the range of the function f(x) = 4x - 1 for the domain {-1, 0, 1, 2, 3}, we can substitute each value from the domain set into the function and calculate the corresponding output value.
When x = -1: f(-1) = 4(-1) - 1 = -4 - 1 = -5
When x = 0: f(0) = 4(0) - 1 = 0 - 1 = -1
When x = 1: f(1) = 4(1) - 1 = 4 - 1 = 3
When x = 2: f(2) = 4(2) - 1 = 8 - 1 = 7
When x = 3: f(3) = 4(3) - 1 = 12 - 1 = 11
Therefore, the range of the function f(x) = 4x - 1, for the given domain, is {-5, -1, 3, 7, 11}.
To find the range of a function, we need to determine all the possible values that the output (or dependent variable) can take for the given set of inputs (or domain).
Given the function f(x) = 4x - 1 and the domain {-1, 0, 1, 2, 3}, we can find the range by evaluating the function for each value in the domain.
For x = -1:
f(-1) = 4(-1) - 1 = -4 - 1 = -5
For x = 0:
f(0) = 4(0) - 1 = 0 - 1 = -1
For x = 1:
f(1) = 4(1) - 1 = 4 - 1 = 3
For x = 2:
f(2) = 4(2) - 1 = 8 - 1 = 7
For x = 3:
f(3) = 4(3) - 1 = 12 - 1 = 11
So, the range of the function f(x) = 4x - 1 for the given domain {-1, 0, 1, 2, 3} is {-5, -1, 3, 7, 11}.