Find the range of the function f(x)=4x-1 for the domain {-1,0,1,2,3}
A){-5,-30,7,11}
B){-5,-4,-3,-2,-1}
C){-11,-7,-3,1,5}
D){-5,-1,3,7,11}
Can someone help, am i right is the answer B????
f(-1) = -5, so C is out
f(0) = -1, so only D is left
you should check the other points, but they look good. Note that y increases by 4 at each step, since the slope is 4.
OH ok thank you @Steve
A fellow emo?? ^_~ ^_^ lol!!
To find the range of a function, you need to evaluate the function for each value in the domain and then identify the set of all possible output values.
In this case, the function is given by f(x) = 4x - 1, and the domain is {-1, 0, 1, 2, 3}.
To find the range, we substitute each value in the domain into the function and calculate the corresponding output:
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 outputs are {-5, -1, 3, 7, 11}.
Comparing this set of values with the answer choices, we see that the correct answer is indeed D) {-5, -1, 3, 7, 11}.
Congratulations! You got it right.