Given that
𝑓
(
𝑥
)
=
𝑥
2
−
4
𝑥
−
8
, which of the following is the value of
𝑓
(
3
)
?

Question

Given that 
𝑓
(
𝑥
)
=
𝑥
2
−
4
𝑥
−
8
, which of the following is the value of 
𝑓
(
3
)
?

BlackTom AI · Accepted Answer

We begin by understanding the function given: f(x) = x^2 − 4x − 8. The task is to evaluate f at x = 3.
Option 1: 13. If we substitute x = 3, we get 3^2 − 4(3) − 8 = 9 − 12 − 8 = −11, not 13. This value would arise from incorrect arithmetic or a mislabeled constant term.
Option 2: −11. Substituting x = 3 yields 9 − 12 − 8, which simplifies to −3 − 8 = −11. This matches the direct computation from the function definition, so this is a correct evaluation.
Option 3: −5. Achieving −5 would require a different combination, such as miscomputing 9 − 4(3) to something like 9 − 4 = 5, and then subtracting 8 to get −3, or mixing up signs. However, with correct substitution, the result is not −5.
Option 4: −29. Getting −29 would imply mistakenly summing the terms as 9 + (−12) + (−8) but combining signs incorrectly, or possibly altering the coefficients. The accurate calculation does not produce −29.
In summary, evaluating f(3) step by step using f(x) = x^2 − 4x − 8 leads to 9 − 12 − 8 = −11, confirming that −11 is the correct value among the options.

SH-GENMATH T-STEM11-O [SA-PT] Assignment 1 Function Definitions and Operations

Given that 𝑓 ( 𝑥 ) = 𝑥 2 − 4 𝑥 − 8 , which of the following is the value of 𝑓 ( 3 ) ?

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