which is the graph of f(x) = 5(2)^x?
which is the graph of f(x) = 5(2)^x?
Answer
Explanation:
Step1: Find the y - intercept
Substitute (x = 0) into (y=f(x)=5(2)^{x}). Then (y = 5(2)^{0}=5\times1 = 5), so the graph passes through the point ((0,5)).
Step2: Find another point
Substitute (x = 2) into (y = 5(2)^{x}). Then (y=5\times2^{2}=5\times4 = 20), so the graph passes through the point ((2,20)).
Step3: Analyze the function type
The function (y = 5(2)^{x}) is an exponential growth function ((a = 5>0) and (b = 2>1)), which means the graph will increase as (x) increases. The given graph passes through ((0,5)) and ((2,20)) and is an increasing curve, so it is the graph of (y = 5(2)^{x}).
Answer:
The provided graph is the graph of (f(x)=5(2)^{x})