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QUESTION IMAGE

shawna is graphing the function $f(x) = 3(4)^x$. she begins by plotting…

Question

shawna is graphing the function $f(x) = 3(4)^x$. she begins by plotting the initial value. which graph represents this first step?

Explanation:

Step1: Find initial value (x=0)

For exponential function $f(x) = a(b)^x$, initial value is at $x=0$.
$f(0) = 3(4)^0 = 3(1) = 3$

Step2: Identify correct coordinate

The initial point is $(0, 3)$.

Answer:

The graph with the point plotted at $(0, 3)$ (the rightmost option, labeled IV) is the correct initial step.