Exponential and Logarithmic Functions Exercises

Example 1

Find h(5) if h(x) = 4(3)^x.

Hint

Substitute the 5 where the x value is.

Example 2

Is f(x) exponential growth or decay? f(x) = 3^0.1x

Hint

y = ab^x is the general form of an exponential equation and what determines growth or decay is the b value. The a value is not there, so it is 1. That means the b value must be 3.

Example 3

Is f(x) exponential growth or decay? f(x) = 2(0.1)^10x

Hint

y = ab^x is the general form of an exponential equation and what determines growth or decay is the b value. The b value is 0.1.

Example 4

The population of Shmooptown is defined by the function P(t) = 760,000(1.0145)^t. What will the population be in 10 years?

Hint

Substitute a 10 for the t variable in the Shmooptown population equation.

Example 5

Determine the exponential function if the initial value is 12 and it is increasing a rate of 50% each year.

Hint

y = ab^x is the general form of an exponential equation. Substitute the 12 as the initial value and don't forget to set b = (1 + 0.5).

Example 6

What is the exponential function based on this table of values?

Hint

f(0) = 10000. Find out how much you are multiplying each y value by to get the b value.

Exponential and Logarithmic Functions Exercises

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

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