F-BF: F-BF

F-BF

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F-BF.1Write a function that describes a relationship between two quantities.F-BF.2Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.F-BF.3Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.F-BF.4Find inverse functions.F-BF.5Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.
Example Problems



Evaluate:


Find the fourth term in the sequence.
Graph the quadratic function:
is a finite function whose domain is the letters a to e. The following table lists the output for each input in 's domain.

xabcde
4545302520


Is
invertible?
Evaluate:
Goblins

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