Question

What is the range of the function g(t)=t2−5 g ( t ) = t 2 − 5 when the domain is defined as the set of integers, t, t , such that −4 ≤ t ≤ 2.

A) {−13,−11,−9,−7,−5,−3,−1}

B) {−5,−4,−1,4,11}

C) {−21,−13,−9,−6,−5,−4,−1}

D) {−4,−3,−2,−1,0,1,2}

Answer 1

g(t) = t² - 5

g(-4) = (-4)² - 5   = 16 - 5   = 11

at this point, you can tell that B is the answer, but I will continue on so you know how to solve similar problems.

g(-3) = (-3)² - 5   = 9 - 5   = 4

g(-2) = (-2)² - 5   = 4 - 5   = -1

g(-1) = (-1)² - 5   = 1 - 5   = -4

g(0) = (0)² - 5   = 0 - 5   = -5

g(1) = (1)² - 5   = 1 - 5   = -4

g(2) = (2)² - 5   = 4 - 5   = -1

Answer: B