evaluate $f(x)$ for the given values for $x$.\nthen use the ordered pairs $(x,f(x))$ from the table to graph…

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

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

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)