Question

What is the value of f(-6) when f (x) = x^2 + 8x + 10
(1 point)

Answer 1

A rock is thrown from one side of a river to another. The function h(t) = −16t^2 + 50t + 65
gives the height in inches of the rock t seconds after it has been thrown.(4 points)

Find h(1)
. Response area

What does h(1)
represent in the context of this problem? Response area

Does it make sense to find h(−8)
in the context of this problem? Response area

What is a reasonable domain given the context of this problem?

Answer 2

To find the value of \( f(-6) \) when \( f(x) = x^2 + 8x + 10 \), we can substitute \(-6\) for \(x\) in the function:

\[
f(-6) = (-6)^2 + 8(-6) + 10
\]

Calculating each term:

1. \( (-6)^2 = 36 \)
2. \( 8(-6) = -48 \)
3. \( 10 = 10 \)

Now, substitute these values back into the equation:

\[
f(-6) = 36 - 48 + 10
\]

Now, simplify:

\[
f(-6) = 36 - 48 + 10 = -12 + 10 = -2
\]

Therefore, the value of \( f(-6) \) is \(\boxed{-2}\).