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Functions and Absolute Value

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Unit One Test Review. Functions and Absolute Value. For the test, I need to know how to…. Find the domain and range of a function given its graph Perform operations on functions (add, subtract, multiply, divide) Compose two functions Find and verify inverses Graph absolute value functions - PowerPoint PPT Presentation

Text of Functions and Absolute Value

Functions and Absolute Value

Functions and Absolute ValueUnit One Test ReviewFor the test, I need to know how to

Find the domain and range of a function given its graphPerform operations on functions (add, subtract, multiply, divide)Compose two functionsFind and verify inversesGraph absolute value functionsSolve absolute value equations and inequalitiesDomain and RangeFind the domain

Find the domain

Find the domain

Find the domain and range

Find the domain and range

Function Operationsf(x) = 3x 5 g(x) = -2x + 1 Find f(x) g(x)f(x) =x+ 1 g(x) = x 5 Find f(g(x))f(x) = 3x 5 g(x) = -2x + 1 Find g(f(-3))f(x) = 3x 5 g(x) = -2x + 1 Find f(x) g(x)f(x) =x+ 1 g(x) = x 5 Find g(f(x))Inverse FunctionsVerify that the two functions are inversesF(x) = 0.5x + 4F -1(x) = 2x 8 Find the inverse Functiony = x2 + 4Find the inverse Functiony = 3x +7Find the inverse Functiony = -2x + 6Graphing Absolute ValueFind the Vertex Pointy = -2|x 4| + 5Find the Vertex Pointy = 3|2x + 6| - 1 Describe the Transformationsy = -|x + 3| - 8Graph the functiony = 2|x + 4| - 7Graph the Functiony = -|x 1| + 5Solving Absolute ValueSolve the equation7 = 2|x 3| + 1Solve the equation4x + 3 = |2x 3|Graph the solution to the inequality2|x 6| < 20Graph the solution to the Inequality|2x 8| > x + 5