The given function is exponential growth and the y-intercept is y=3.
Given that the given function is y=3(4ˣ).
Exponential growth or decay describes the process of reducing or growing an amount by a consistent percentage rate over a period of time and it is represented by the function y=a(1-b)ˣ where, y is the final amount, a is the original amount and b is the growth or decay factor and x is the amount of time passed.
If a is positive and b is greater than 1 then it is exponential growth.
If a is positive and b is less than 1 but greater than 0 then it exponential decay.
The graph of the given function y=3(4)ˣ is shown in the attached image.
From the graph, it is visible that the given function is an exponential growth because a is 3 and it is positive and it is greater than 1.
Now, we will find the y-intercept by substituting x=0, we get
y=3(4⁰)
y=3(1)
y=3
Hence, the given function or situation y=3(4ˣ) as an example of exponential growth and the y-intercept is 3.
Learn more about the exponential function from here brainly.com/question/23856879
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