evaluate $f(x)$ for the given values for $x$.
then use the ordered pairs $(x,f(x))$ from the table to graph the function.
$f(x)=x^{2}+2$
for each value of $x$, evaluate $f(x)$.
$\begin{array}{|c|c|c|c|c|c|}\hline x & 2 & 1 & 0 & -1 & -2 \\ \hline f(x)=x^{2}+2 & 6 & 3 & 2 & 3 & 6 \\ \hline \end{array}$
click to enlarge graph
use the graphing tool to graph the function.

Question

Accepted Answer

# Explanation:
## Step1: Substitute $x = 2$ into $f(x)=x^{2}+2$
$$
\begin{align*}
f(2)&=2^{2}+2\
&=4 + 2\
&=6
\end{align*}
$$
## Step2: Substitute $x = 1$ into $f(x)=x^{2}+2$
$$
\begin{align*}
f(1)&=1^{2}+2\
&=1+2\
&=3
\end{align*}
$$
## Step3: Substitute $x = 0$ into $f(x)=x^{2}+2$
$$
\begin{align*}
f(0)&=0^{2}+2\
&=0 + 2\
&=2
\end{align*}
$$
## Step4: Substitute $x=-1$ into $f(x)=x^{2}+2$
$$
\begin{align*}
f(-1)&=(-1)^{2}+2\
&=1+2\
&=3
\end{align*}
$$
## Step5: Substitute $x = - 2$ into $f(x)=x^{2}+2$
$$
\begin{align*}
f(-2)&=(-2)^{2}+2\
&=4+2\
&=6
\end{align*}
$$

# Answer:
When $x = 2$, $f(2)=6$; when $x = 1$, $f(1)=3$; when $x = 0$, $f(0)=2$; when $x=-1$, $f(-1)=3$; when $x=-2$, $f(-2)=6$

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QUESTION IMAGE

Question

Explanation:

Step1: Substitute \(x = 2\) into \(f(x)=x^{2}+2\)

Step2: Substitute \(x = 1\) into \(f(x)=x^{2}+2\)

Step3: Substitute \(x = 0\) into \(f(x)=x^{2}+2\)

Step4: Substitute \(x=-1\) into \(f(x)=x^{2}+2\)

Step5: Substitute \(x = - 2\) into \(f(x)=x^{2}+2\)

Answer: