The graphs of y = 3x and y = 3* are shown below.
1 answer:
The growth of y = 3x compare to the growth of y = 3 as the function y = 3^x is growing faster than y = 3x.
<h3>How to explain the graph?</h3>The growth rate of any function is calculated by finding its limit at infinity. Here, we need to calculate the limit of the function when x approaches to infinity.
Also, as x approaches infinity the order followed by the functions according to their growth rate is :
Factorial < Exponential < Polynomial < 1
Now, the function y = 3x is polynomial and the other function y = 3^x is exponential.
Therefore, in comparison with the above sequence : The function y = 3^x is growing faster than y = 3x.
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