Question

Find the range of the function r(x) for the given domain

Answer 1

{4, 5, 7, 19}

Explanation:

Given function r(x) = 2(2ˣ) + 3

To find the range for each of the values in the domain (x -values) substitute that value in the above function and determine the r(x) value

x r(x)
-1 2 x 2⁻¹ + 3 = 2 x (1/2) + 3 = 4
0 2 x 2⁰ + 3 = 2 x 1 + 3 = 5

1 2 x 2¹ + 3 = 2 x 2 + 3 = 7

3 2 x 2³ + 3 = 2 x 8 + 3 = 16 + 3 = 19

So the range R = {4, 5, 7, 19}