If f left-parenthesis x right-parenthesis equals 2 superscript x baseline minus 10 and the domain of f left-parenthesis x right-parenthesis is the set of integers from negative 1 to 3, which values are elements of the range of f left-parenthesis x right-parenthesis? Select all that apply.

Question

(2 points)
Responses

negative 12
Image with alt text: negative 12

negative 10
Image with alt text: negative 10

negative 9
Image with alt text: negative 9

negative 6
Image with alt text: negative 6

negative 2
Image with alt text: negative 2

Answer 1

To find the range of f(x), we substitute each value in the domain into the function and evaluate it.

f(-1) = 2^(-1) - 10 = 0 - 10 = -10

f(0) = 2^0 - 10 = 1 - 10 = -9

f(1) = 2^1 - 10 = 2 - 10 = -8

f(2) = 2^2 - 10 = 4 - 10 = -6

f(3) = 2^3 - 10 = 8 - 10 = -2

Therefore, the elements of the range of f(x) are -10, -9, -8, -6, and -2.