Question

Graph the given function by making a table of coordinates.
f left parenthesis x right parenthesis equals 5 Superscript x
Question content area bottom
Part 1
Complete the table of coordinates.
x
minus2
minus1
0
1
2
y
  
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enter your response here
  
enter your response here
  
enter your response here

Answer 1

what was the answer

Answer 2

To graph the function \( f(x) = 5^x \), we can create a table of coordinates by evaluating the function for various values of \( x \).

Let's calculate \( f(x) \) for each value of \( x \):

1. **When \( x = -2 \)**:
\[
f(-2) = 5^{-2} = \frac{1}{5^2} = \frac{1}{25} = 0.04
\]

2. **When \( x = -1 \)**:
\[
f(-1) = 5^{-1} = \frac{1}{5} = 0.2
\]

3. **When \( x = 0 \)**:
\[
f(0) = 5^0 = 1
\]

4. **When \( x = 1 \)**:
\[
f(1) = 5^1 = 5
\]

5. **When \( x = 2 \)**:
\[
f(2) = 5^2 = 25
\]

Now we can summarize the results in a table:

\[
\begin{array}{|c|c|}
\hline
x & y \, (f(x)) \\
\hline
-2 & 0.04 \\
-1 & 0.2 \\
0 & 1 \\
1 & 5 \\
2 & 25 \\
\hline
\end{array}
\]

So the completed table of coordinates is:

\[
\begin{array}{|c|c|}
\hline
x & y \\
\hline
-2 & 0.04 \\
-1 & 0.2 \\
0 & 1 \\
1 & 5 \\
2 & 25 \\
\hline
\end{array}
\]