Question

which is the graph of $f(x)=0.5(4)^x$?

Explanation:

Step1: Calculate f(0)

$f(0)=0.5(4)^0=0.5\times1=0.5$

Step2: Calculate f(1)

$f(1)=0.5(4)^1=0.5\times4=2$

Step3: Calculate f(2)

$f(2)=0.5(4)^2=0.5\times16=8$

Step4: Match points to graphs

Check which graph has points (0, 0.5), (1, 2), (2, 8)

Answer:

The first graph (leftmost one with points at (1,2), (2,8), and approaching 0 as x decreases) is the correct graph of $f(x)=0.5(4)^x$.