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# Functions: Building Functions670 questions33 skills

## HSF-BF.A.1

139 questions7 skills
Write a function that describes a relationship between two quantities.

## HSF-BF.A.1a

93 questions5 skills
Determine an explicit expression, a recursive process, or steps for calculation from a context.

## HSF-BF.A.1b

16 questions1 skill
Combine standard function types using arithmetic operations.

## HSF-BF.A.1c

88 questions4 skills
Compose functions.

## HSF-BF.A.2

130 questions7 skills
Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.

## HSF-BF.B.3

189 questions9 skills
Identify 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.

## HSF-BF.B.4

89 questions5 skills
Find inverse functions.

## HSF-BF.B.4a

12 questions1 skill
Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse.

## HSF-BF.B.4b

20 questions1 skill
Verify by composition that one function is the inverse of another.

## HSF-BF.B.4c

26 questions1 skill
Read values of an inverse function from a graph or a table, given that the function has an inverse.

## HSF-BF.B.4d

31 questions2 skills
Produce an invertible function from a non-invertible function by restricting the domain.

## HSF-BF.B.5

85 questions3 skills
Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.