Question

exponential growth functions
which is the graph of $f(x) = 5(2)^x$?

Explanation:

Step1: Find y-intercept (x=0)

$f(0)=5(2)^0=5\times1=5$
So the graph passes through $(0,5)$.

Step2: Test x=1

$f(1)=5(2)^1=5\times2=10$
So the graph passes through $(1,10)$.

Step3: Match points to graphs

Check which graph has points $(0,5)$ and $(1,10)$.

Answer:

The fourth graph (rightmost one, passing through (0,5) and (1,10))