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Question #7

Given the following polynomial function, evaluate [tex] f(-8) [/tex].

[tex] f(x) = x^2 + 5 [/tex]

A. [tex] f(-8) = 14 [/tex]

B. [tex] f(-8) = 69 [/tex]

C. [tex] f(-8) = 54 [/tex]

D. [tex] f(-8) = 48 [/tex]

Sagot :

GinnyAnswer
Certainly! I'll guide you through the process of evaluating the polynomial function [tex]\( f(x) = x^2 + 5 \)[/tex] at [tex]\( x = -8 \)[/tex].

1. Start by substituting [tex]\( x = -8 \)[/tex] into the function [tex]\( f(x) \)[/tex]:
[tex]\[ f(-8) = (-8)^2 + 5 \][/tex]

2. Calculate [tex]\( (-8)^2 \)[/tex]:
[tex]\[ (-8)^2 = 64 \][/tex]

3. Now add 5 to the result:
[tex]\[ 64 + 5 = 69 \][/tex]

Thus, the value of [tex]\( f(-8) \)[/tex] is [tex]\( \boxed{69} \)[/tex]. The correct answer is "Saved [tex]\( f(-8) = 69 \)[/tex]".
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