Questions: What function is graphed below? f(x)=(1/4)^x f(x)=(1/3)^x f(x)=(1/2)^x f(x)=(1/5)^x f(x)=3^x f(x)=4^x f(x)=2^x f(x)=5^x

Solution Steps

The graph passes through the points (0, 1), (1, 3), and (2, 9).

We can test each option by substituting the x-values from the points identified in Step 1 and checking if the corresponding y-values match.

• $f(x) = (\frac{1}{4})^x$: $f(0) = 1$, $f(1) = \frac{1}{4}$, $f(2) = \frac{1}{16}$
• $f(x) = (\frac{1}{3})^x$: $f(0) = 1$, $f(1) = \frac{1}{3}$, $f(2) = \frac{1}{9}$
• $f(x) = (\frac{1}{2})^x$: $f(0) = 1$, $f(1) = \frac{1}{2}$, $f(2) = \frac{1}{4}$
• $f(x) = (\frac{1}{5})^x$: $f(0) = 1$, $f(1) = \frac{1}{5}$, $f(2) = \frac{1}{25}$
• $f(x) = 3^x$: $f(0) = 1$, $f(1) = 3$, $f(2) = 9$
• $f(x) = 4^x$: $f(0) = 1$, $f(1) = 4$, $f(2) = 16$
• $f(x) = 2^x$: $f(0) = 1$, $f(1) = 2$, $f(2) = 4$
• $f(x) = 5^x$: $f(0) = 1$, $f(1) = 5$, $f(2) = 25$

Final Answer: