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4 votes
Evaluate ƒ(x) when x = 6.

A. 6 (NOT the answer)
B. 12
C. 74
D. 218

Evaluate ƒ(x) when x = 6. A. 6 (NOT the answer) B. 12 C. 74 D. 218-example-1
User Jens Ayton
by
8.0k points

2 Answers

5 votes
after trying to do it the hard way, i remembered the easy way.

substitution:

because x = 6 and 6 is in the range of -6 < x < 9, we only need the equation 6x^(2) + 2

f(x) = 6x^(2) + 2
f(6) = 6(6)^(2) + 2
f(6) = 6(36) + 2
f(6) = 216 + 2
f(6) = 218
User Freezystem
by
8.5k points
4 votes

Answer:

The value of f(x) at x=6 is
f(6) = 218

Therefore, the correct option is D) 218

Explanation:

We need to solve the value of f(x) at x=6

Given step function is
f(x)=6x^(2)+2 for the range of -6 < x < 9

( 6 is in this range)

Substitute the value x=6 in
f(x)=6x^(2)+2 :


f(x) = 6x^(2) + 2


f(6) = 6(6)^(2) + 2


f(6) = 6* 36+ 2


f(6) = 216+ 2


f(6) = 218

Hence, the value of f(x) at x=6 is
f(6) = 218

Therefore, the correct option is D) 218

User Lhagemann
by
8.8k points

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