Non-polynomial Functions EVALUATE RADICAL EXPRESSIONS SOLVE RADICAL EQUATIONS CONVERT BETWEEN LOG AND EXPONENTIAL; GRAPH EACH SOLVE RATIONAL EQUATIONS.

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Presentation transcript:

Non-polynomial Functions EVALUATE RADICAL EXPRESSIONS SOLVE RADICAL EQUATIONS CONVERT BETWEEN LOG AND EXPONENTIAL; GRAPH EACH SOLVE RATIONAL EQUATIONS GRAPH AND DETERMINE DOMAIN, RANGE, AMPLITUDE, AND PERIOD OF PERIODIC FUNCTIONS

Radical Rules you must know

Examples You should be able to answer #1 warm up

Exponential and Logs Know that exponential functions and logarithmic functions are inverses of each other ExponentialLogarithmic (log) Parent Function Stretch|a| > 1 0 < |a| < 1 a < 0 Opposite of h K Shrink/Skew Reflection over x axis Horizontal Shift Vertical Shift

What transformation? Left 2

Logarithmic Functions (Logs) A logarithm equals the exponent

Example:

Example

Periodic Functions Periodic functions repeats its y-values at regular intervals. PeriodAmplitude From a Graph Distance from 1 crest to the next ½ the distance between the max and min From an equation

Solving Rational Equations

Example 2 1.Get common denominator 2.Cross multiply 3.Solve 4.Check for extraneous solutions

Example

Tricks of the trade…use your calculator!!!!