Question

Given the function f(x)=x2−5x+7
, what would be the value of f(−4)
?(1 point)
Responses

-21
-21

11
11

-29
-29

43

Answer 1

To find the value of the function \( f(x) = x^2 - 5x + 7 \) at \( x = -4 \), we need to substitute \(-4\) into the function:

\[
f(-4) = (-4)^2 - 5(-4) + 7
\]

Now, calculate each term:

1. \((-4)^2 = 16\)
2. \(-5(-4) = 20\)
3. The constant term is \(7\)

Now, combine these values:

\[
f(-4) = 16 + 20 + 7
\]

Adding these together:

\[
16 + 20 = 36
\]
\[
36 + 7 = 43
\]

Thus, \( f(-4) = 43 \).

The correct response is **43**.