homework assignment 1.1: functions and function notation
score: 6/15 answered: 6/15
question 7
given the function $f(x) = 4x^2 - 8x + 3$. calculate the following values:
$f(-2) = $
$f(-1) = $
$f(0) = $
$f(1) = $
$f(2) = $
question help: video written example

Question

Accepted Answer

# Explanation:
## Step1: Calculate $ f(-2) $
Substitute $ x = -2 $ into $ f(x) = 4x^2 - 8x + 3 $.
$$
\begin{align*}
f(-2)&= 4(-2)^2 - 8(-2) + 3\
&= 4(4) + 16 + 3\
&= 16 + 16 + 3\
&= 35
\end{align*}
$$
## Step2: Calculate $ f(-1) $
Substitute $ x = -1 $ into $ f(x) = 4x^2 - 8x + 3 $.
$$
\begin{align*}
f(-1)&= 4(-1)^2 - 8(-1) + 3\
&= 4(1) + 8 + 3\
&= 4 + 8 + 3\
&= 15
\end{align*}
$$
## Step3: Calculate $ f(0) $
Substitute $ x = 0 $ into $ f(x) = 4x^2 - 8x + 3 $.
$$
\begin{align*}
f(0)&= 4(0)^2 - 8(0) + 3\
&= 0 - 0 + 3\
&= 3
\end{align*}
$$
## Step4: Calculate $ f(1) $
Substitute $ x = 1 $ into $ f(x) = 4x^2 - 8x + 3 $.
$$
\begin{align*}
f(1)&= 4(1)^2 - 8(1) + 3\
&= 4 - 8 + 3\
&= -1
\end{align*}
$$
## Step5: Calculate $ f(2) $
Substitute $ x = 2 $ into $ f(x) = 4x^2 - 8x + 3 $.
$$
\begin{align*}
f(2)&= 4(2)^2 - 8(2) + 3\
&= 4(4) - 16 + 3\
&= 16 - 16 + 3\
&= 3
\end{align*}
$$
# Answer:
$ f(-2) = 35 $
$ f(-1) = 15 $
$ f(0) = 3 $
$ f(1) = -1 $
$ f(2) = 3 $

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QUESTION IMAGE

Question

Explanation:

Step1: Calculate \( f(-2) \)

Step2: Calculate \( f(-1) \)

Step3: Calculate \( f(0) \)

Step4: Calculate \( f(1) \)

Step5: Calculate \( f(2) \)

Answer: