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STANDARDS

Math

Common Core Math

High School: Functions: Building Functions

HSF.BF.A

Build a function that models a relationship between two quantities.

HSF.BF.A.1

Write a function that describes a relationship between two quantities.

HSF.BF.A.1.a

Mostly covered
Determine an explicit expression, a recursive process, or steps for calculation from a context.

HSF.BF.A.1.b

Fully covered
Combine standard function types using arithmetic operations.

HSF.BF.A.1.c

Mostly covered
Compose functions.

HSF.BF.A.2

Fully covered
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

Build new functions from existing functions.

HSF.BF.B.3

Partially covered
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

Find inverse functions.

HSF.BF.B.4.a

Fully covered
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.4.b

Fully covered
Verify by composition that one function is the inverse of another.

HSF.BF.B.4.c

Fully covered
Read values of an inverse function from a graph or a table, given that the function has an inverse.

HSF.BF.B.4.d

Fully covered
Produce an invertible function from a non-invertible function by restricting the domain.

HSF.BF.B.5

Fully covered
Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.