1. (09.06)
Indicate whether the following statement is true or false: An exponential growth function eventually exceeds a quadratic function with a positive
leading coefficient. (1 point)
O
True
O
False

True

Step-by-step explanation:

In general, the growth rate of exponential functions is far greater than the quadratic function. This can be illustrated through an example.

Consider an exponential function  and a quadratic function .

Note that the leading coefficient of the quadratic function is far greater than the base of the exponential function but still the exponential function will exceeds the quadratic function after x = 15.664 as shown in the graph below.

Therefore, we can conclude that the given statement is correct.

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