Logarithmic and Exponential Functions. Rational Exponents Review Properties of Integer Exponents Note:

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Presentation transcript:

Logarithmic and Exponential Functions

Rational Exponents Review Properties of Integer Exponents Note:

Examples: Express each exponential given in radical form and evaluate: Simplify each expression:

Applications of Rational Exponents: A clock has a pendulum of length 99.5 cm. Determine the period of the pendulum to the nearest tenth of a second. *The formula has been devised to determine the approximate relationship between the period and the length of a given pendulum. This formula is derived from the Standard Seconds Pendulum which is about 1 meter long and has a period of 2 s. * First, convert the measurement to meters. Then plug values from the problem into the given formula.

Graphing Exponential Functions A function that can be expressed in the form is called an exponential function.

The value of b determines the steepness of the graph. The point (0,1) is common to the graphs.