(A) 23(B) 17(C) 0(D) -17(E) -23. Created by Jasmin. science-mathematics-en - mathematics-en

If f(x) = 4x + 3 and -5 ≤ x ≤ 5, which of the following is NOT a value of f(x)?

Jasmin @Jasmin

May 2021 2 40 Report

If f(x) = 4x + 3 and -5 ≤ x ≤ 5, which of the following is NOT a value of f(x)?

(A) 23

(B) 17

(D) -17

(E) -23

Science & Mathematics / Mathematics

Verified answer

f(x) has a positive slope and is linear, so we can check the endpoints of the interval to find out which values f(x) takes on over the interval [-5, 5]

f(-5) = 4(-5) + 3 = -17

f(5) = 4(5) + 3 = 23

So -17 ≤ f(x) ≤ 23 when -5 ≤ x ≤ 5. Therefore, f(x) does not take on the value -23.

E. -23

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