Question

Calculate f(5) for the following function f(x) -4x-5
(5, 6), (8, 9), (2, 3), or (6, 7)
Which one is closest to the real answer?

Answer 1

To calculate \( f(5) \) for the function \( f(x) = -4x - 5 \):

1. Substitute \( x = 5 \) into the function:
\[
f(5) = -4(5) - 5
\]
2. Calculate:
\[
f(5) = -20 - 5 = -25
\]

Now, let's compare \( -25 \) with the given pairs:

- (5, 6): Average = \( \frac{5 + 6}{2} = 5.5 \)
- (8, 9): Average = \( \frac{8 + 9}{2} = 8.5 \)
- (2, 3): Average = \( \frac{2 + 3}{2} = 2.5 \)
- (6, 7): Average = \( \frac{6 + 7}{2} = 6.5 \)

None of these pairs are close to \(-25\).

Since none of the provided pairs are close to \(-25\), there is no closest option to choose from. However, if you are looking for values typically considered (positive), none align here.

To sum up, the calculated \( f(5) \) is \(-25\) and does not fall within the averages of the given pairs.