Question
Find the range of the function for the given domain.
f(x)=3x+8;{-2,-1,0,1,2}
f(x)=3x+8;{-2,-1,0,1,2}
Answers
GPT 3.5
To find the range of the function, we need to evaluate the function for each value in the given domain and determine the set of all possible output values.
For the given function f(x) = 3x + 8 with the domain {-2, -1, 0, 1, 2}, we can substitute each of these x-values into the function to find the corresponding y-values:
f(-2) = 3(-2) + 8 = 2
f(-1) = 3(-1) + 8 = 5
f(0) = 3(0) + 8 = 8
f(1) = 3(1) + 8 = 11
f(2) = 3(2) + 8 = 14
The set of all y-values or output values is {2, 5, 8, 11, 14}. Therefore, the range of the function is {2, 5, 8, 11, 14}.
For the given function f(x) = 3x + 8 with the domain {-2, -1, 0, 1, 2}, we can substitute each of these x-values into the function to find the corresponding y-values:
f(-2) = 3(-2) + 8 = 2
f(-1) = 3(-1) + 8 = 5
f(0) = 3(0) + 8 = 8
f(1) = 3(1) + 8 = 11
f(2) = 3(2) + 8 = 14
The set of all y-values or output values is {2, 5, 8, 11, 14}. Therefore, the range of the function is {2, 5, 8, 11, 14}.