Answer
$(a)$ is the graph of $y=(\frac{1}{3})^x$, $(b)$ is the graph of $y=(\frac{1}{5})^x$,
$(c)$ is the graph $y=5^x$ and $(d)$ is the graph of $y=3^x$
Work Step by Step
Exponential function property states that:
Exponential growth is modeled by functions of the form $f(x)=b^x$ where the base is greater than one. Exponential decay occurs when the base is between zero and one.
Using exponential property we can classify that $d$ and $c$ are exponential growth and since the base for $c$ is greater than the base for $d$. as $x$ increases the graph with a greater base increases faster.
$(c)$ is the graph $y=5^x$ and
$(d)$ is the graph of $y=3^x$
Using exponential property we can classify that $a$ and $b$ are exponential decay and since the base for $b$ is less than the base for $a$. as $x$ decreases the graph with lesser base decays faster.
$(a)$ is the graph of $y=(\frac{1}{3})^x$,
$(b)$ is the graph of $y=(\frac{1}{5})^x$,
