In Exercises 1-6, tell whether the function is an exponential growth function or exponential dec

step 1 When deciding if the exponential function is growing or decaying, we need to look at the base of

In Exercises 1-6, tell whether the function is an...

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Key Concepts

Exponential Functions

Exponential functions are mathematical functions in which the variable appears in the exponent. They are typically written in the form f(t) = a*b^t, where a is the initial value, b is the base, and t is the exponent. These functions are widely used to model phenomena that change at rates proportional to their current value.

Exponential Growth vs. Decay

Exponential growth occurs when the base of the exponential function is greater than one, causing the function to increase as t increases, while exponential decay occurs when the base is between zero and one, leading to a decrease in the value of the function over time. In the given function g(t) = 247*2^t, the base is 2, which is greater than one, indicating exponential growth.

Constant Percentage Rate

The constant percentage rate in an exponential function is derived from the base of the function. For a function of the form f(t) = a*b^t, the percentage change per unit increase in t is given by (b - 1)*100%. This measures the rate at which the function increases or decreases relative to its previous value.

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