Find the range of the function for the given domain. f(x) = 4x + 3; \{- 2, - 1, 0, 1, 2\} What is the range? Choose the correct answer below. OA. \{- 5, - 1, 3, 7, 11\} OB. \{- 6, - 1, 3, 7, 12\} O C. \{- 5, 0, 3, 8, 11\} OD. \{- 5, 0, 2, 8, 11\}
To find the range of the function, we substitute each value in the domain into the function and record the output.
When we substitute -2 into the function, we have:
f(-2) = 4(-2) + 3 = -8 + 3 = -5
When we substitute -1 into the function, we have:
f(-1) = 4(-1) + 3 = -4 + 3 = -1
When we substitute 0 into the function, we have:
f(0) = 4(0) + 3 = 0 + 3 = 3
When we substitute 1 into the function, we have:
f(1) = 4(1) + 3 = 4 + 3 = 7
When we substitute 2 into the function, we have:
f(2) = 4(2) + 3 = 8 + 3 = 11
So the range of the function is {- 5, - 1, 3, 7, 11}.
Therefore, the correct answer is OA. \{- 5, - 1, 3, 7, 11\}.
To find the range of the function f(x) = 4x + 3, we need to substitute each value in the given domain {-2, -1, 0, 1, 2} into the function and determine the corresponding output.
Substituting -2:
f(-2) = 4(-2) + 3 = -8 + 3 = -5
Substituting -1:
f(-1) = 4(-1) + 3 = -4 + 3 = -1
Substituting 0:
f(0) = 4(0) + 3 = 0 + 3 = 3
Substituting 1:
f(1) = 4(1) + 3 = 4 + 3 = 7
Substituting 2:
f(2) = 4(2) + 3 = 8 + 3 = 11
Therefore, the range of the function is {-5, -1, 3, 7, 11}. Hence, the correct answer is:
OA. {-5, -1, 3, 7, 11}
To find the range of a function, we need to evaluate the function for every value in the given domain and determine the set of all possible outputs.
The function is given as f(x) = 4x + 3, and the domain is {-2, -1, 0, 1, 2}.
Let's substitute each value from the domain into the function to find its corresponding output:
For x = -2: f(-2) = 4(-2) + 3 = -8 + 3 = -5
For x = -1: f(-1) = 4(-1) + 3 = -4 + 3 = -1
For x = 0: f(0) = 4(0) + 3 = 0 + 3 = 3
For x = 1: f(1) = 4(1) + 3 = 4 + 3 = 7
For x = 2: f(2) = 4(2) + 3 = 8 + 3 = 11
The corresponding outputs are -5, -1, 3, 7, and 11.
Thus, the range of the function f(x) = 4x + 3 for the given domain {-2, -1, 0, 1, 2} is:
Range = {-5, -1, 3, 7, 11}
Therefore, the correct answer is OA. {-5, -1, 3, 7, 11}.