Question

F(x) = 4x - 3; {-2,-1,0,1,2}

What is the range? Choose the correct answer below.

A) {-12, -7, -3,1,6}
B) {-11, -7, -3,1,5}
C) {-11, -6, -3,2,5}
D) {-11, -6, -4,2,5}

Answer 1

The range of the function f(x) = 4x - 3 with the given input values {-2,-1,0,1,2} is {-11,-7,-3,1,5}.

Step-by-step explanation:

The range of a function is the set of all possible output values. To find the range of the function f(x) = 4x - 3 with the given input values {-2,-1,0,1,2}, we can substitute each input value into the function to get the corresponding output values:

f(-2) = 4(-2) - 3 = -8 - 3 = -11

f(-1) = 4(-1) - 3 = -4 - 3 = -7

f(0) = 4(0) - 3 = 0 - 3 = -3

f(1) = 4(1) - 3 = 4 - 3 = 1

f(2) = 4(2) - 3 = 8 - 3 = 5

Therefore, the range of the function is {-11,-7,-3,1,5}, which matches option B) in the question.