Find the range of the function f(x) = 4x - 1 for the domain {-1, 0, 1, 2, 3}.
A) {-5,-3,0,7,11}
B) {-5,-4,-3,-2,-1}
C) {-11,-7,-3,1,5}
D) {-5,-1,3,7,11}***
Am I correct? If not can you help me figure out what the right answer is?
Can someone please check my answer? I would really appreciate it.
Never mind...got it right! (=
yes, the second number has to be -1 :)
To find the range of a function, we need to determine the set of all possible output values (or y-values) that the function can produce for the given domain.
Given the function f(x) = 4x - 1 and the domain {-1, 0, 1, 2, 3}, we can substitute each value into the function and get the corresponding output values:
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 is {-5, -1, 3, 7, 11}.
Comparing this with the given answer choices, we can see that the correct answer is D) {-5, -1, 3, 7, 11}.