Answer
$a.\:\:\:f$
$b.\:\:\:g$
$c.\:\:\:h$
Work Step by Step
$5x\:$ is the only linear function among the three. So it is represented by the blue line and the function $\:f.$
Remember, the graph of the exponential function is always positive (above the $\:\mathrm{x-axis}\:$). So, $\:5^{x}\:$ is represented by the yellow curve and the function $\:g.$
The last graph represented in red will match with function $\:h.$