Warm Up.

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Presentation transcript:

Warm Up

Unit 4 Test

Unit 1/Unit 2 Piecewise functions Absolute Values Solving and graphing Inverses of functions Varies Directly and Inversely Compositions

Solving Absolute Values Solving absolute value equations Example: -5|3x+4| = 7 Solving and graphing absolute value inequalities More is “or” Less is “nest”

Solving and Graphing Absolute Value Inequalities Example: 3|9 - 4x| < 11 Example: |2x + 5| > 6

Inverses of functions How do I find an inverse? Switch the x and y value in the equation Solve for y Make the range become the new domain of the new equations, and make the domain become the new range of the new equation

Varies Directly/Inversely/Jointly Direct Variation y = kx Inverse Variation y = k/x or xy = k Joint Variation is like direct variation but involves more than one variable y = kxz

Compositions f(g(x)) f(g(2))

Unit 3 Logarithms Exponential Functions Compound interest Half Life Graphing Converting to Exponential Solving Evaluating Exponential Functions Convert to Logarithms Applications Compound interest Half Life

Logarithms to Exponential Equations

Exponential Function

Exponential Function Transformations

Compound Interest

Continuously Compounded

Logarithmic Rules

Important Exponential Equation