Answer
The function represents exponential growth and the y-intercept is at $(0,0.75)$.
Work Step by Step
In order to determine whether this graph represents exponential growth or exponential decay, we must first remember that exponential growth and decay functions look like this:
$y=a(b)^x$
$a$ = y-intercept
$b$ = Rate of growth/decay
If $b$ is between 0 up to but not including 1, the function is exponential decay.
If $b$ is greater than 1, the function is exponential growth.
In this case, $b = 4$, which is greater than $1$, so the function represents exponential growth.
To find the y-intercept, we plug in $0$ for $x$.
$y = 0.75(4)^0 = 0.75(1) = 0.75$
The y-intercept is $(0, 0.75)$
