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Standards/Math/Massachusetts/F-BF.B

F-BF.B

F-BF Functions - Building Functions
F-BF.A
F-BF.B
F-BF.B.3F-BF.B.4F-BF.B.5

Build new functions from existing functions.

F-BF.B.3Identify the effect on the graph of replacing f(x) by f(x) + k, kf(x, f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. (Include linear, quadratic, exponential, absolute value, simple rational and radical, logarithmic and trigonometric functions.) Utilize technology to experiment with cases and illustrate an explanation of the effects on the graph. (Include recognizing even and odd functions from their graphs and algebraic expressions for them.)F-BF.B.4Find inverse functions algebraically and graphically.F-BF.B.5(+) Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.
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