Question

graph the given function by making a table of coordinates.$f(x)=5^{x}$complete the table of coordinates.(type integers or fractions. simplify your answers.)| $x$ | $-2$ | $-1$ | $0$ | $1$ | $2$ || --- | --- | --- | --- | --- | --- || $y$ | $\frac{1}{25}$ | $\frac{1}{5}$ | $1$ | $5$ | $25$ |choose the correct graph below.$\bigcirc$ a.$\bigcirc$ b.$\bigcirc$ c.$\bigcirc$ d.

Explanation:

Step1: Verify table values

For $f(x)=5^x$:

• $x=-2$: $5^{-2}=\frac{1}{5^2}=\frac{1}{25}$
• $x=-1$: $5^{-1}=\frac{1}{5^1}=\frac{1}{5}$
• $x=0$: $5^0=1$
• $x=1$: $5^1=5$
• $x=2$: $5^2=25$

Step2: Match points to graph

The points $(-2,\frac{1}{25}), (-1,\frac{1}{5}), (0,1), (1,5), (2,25)$ are positive, increasing, and match the scale of Graph B.

Answer:

Completed table (already correct):

$x$	$y$
-1	$\frac{1}{5}$
0	1
1	5
2	25

Correct graph: B. The graph with points matching $(-2,\frac{1}{25}), (-1,\frac{1}{5}), (0,1), (1,5), (2,25)$ on a scaled y-axis (0-30)