Question

For each of the following, sketch a graph of the new function and use your graph to fill in the g-values in the tables. Assume that the function $f(x)$ is only defined on $-5 \le x \le 5$. For any undetermined values in the new functions, enter dne. (a) $g = f(x) + 1$ \begin{tabular}{|c|c|c|c|c|c|} \hline x & -4 & -2 & 0 & 2 & 4 \\ \hline y & & & & & \\ \hline \end{tabular} (b) $g = 2f(x)$ \begin{tabular}{|c|c|c|c|c|c|} \hline x & -4 & -2 & 0 & 2 & 4 \\ \hline y & & & & & \\ \hline \end{tabular} (c) $g = f(x + 4)$ \begin{tabular}{|c|c|c|c|c|c|} \hline x & -4 & -2 & 0 & 2 & 4 \\ \hline y & & & & & \\ \hline \end{tabular} (d) $g = 4 - f(x)$ \begin{tabular}{|c|c|c|c|c|c|} \hline x & -4 & -2 & 0 & 2 & 4 \\ \hline y & & & & & \\ \hline \end{tabular}

          For each of the following, sketch a graph of the new function and use your graph to fill in the g-values in the tables. Assume that the function $f(x)$ is only defined on $-5 \le x \le 5$. For any undetermined values in the new functions, enter dne.
(a) $g = f(x) + 1$
\begin{tabular}{|c|c|c|c|c|c|}
\hline
x & -4 & -2 & 0 & 2 & 4 \\
\hline
y &  &  &  &  &  \\
\hline
\end{tabular}
(b) $g = 2f(x)$
\begin{tabular}{|c|c|c|c|c|c|}
\hline
x & -4 & -2 & 0 & 2 & 4 \\
\hline
y &  &  &  &  &  \\
\hline
\end{tabular}
(c) $g = f(x + 4)$
\begin{tabular}{|c|c|c|c|c|c|}
\hline
x & -4 & -2 & 0 & 2 & 4 \\
\hline
y &  &  &  &  &  \\
\hline
\end{tabular}
(d) $g = 4 - f(x)$
\begin{tabular}{|c|c|c|c|c|c|}
\hline
x & -4 & -2 & 0 & 2 & 4 \\
\hline
y &  &  &  &  &  \\
\hline
\end{tabular}

For each of the following, sketch a graph of the new function and use your graph to fill in the g-values in the tables. Assume that the function f(x) is only defined on -5 ≤ x ≤ 5. For any undetermined values in the new functions, enter dne.
(a) g = f(x) + 1

x -4 -2 0 2 4

y

(b) g = 2f(x)

x -4 -2 0 2 4

y

(c) g = f(x + 4)

x -4 -2 0 2 4

y

(d) g = 4 - f(x)

x -4 -2 0 2 4

y

Added by Brittany M.

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