Midcontinent Research for Education and Learning
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Common Core Mathematics 912
Cluster
Build new functions from existing functions
Grade 912
F.BF.3.
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.
F.BF.4.
Find inverse functions.
F.BF.4.a.
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.
For example, f(x)=2 x
^{3}
or f(x) = (x+1)/(x1) for x≠ 1.
F.BF.4.b.
(+) Verify by composition that one function is the inverse of another.
F.BF.4.c.
(+) Read values of an inverse function from a graph or a table, given that the function has an inverse.
F.BF.4.d.
(+) Produce an invertible function from a noninvertible function by restricting the domain.
F.BF.5.
(+) Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.