Build new functions from existing functions4. Find inverse functions.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 x3 or f(x) = (x + 1)/(x - 1) for x ≠ 1.b. (+) Verify by composition that one function is the inverse of another.c. (+) Read values of an inverse function from a graph or a table, given that the function has an inverse.d. (+) Produce an invertible function from a non-invertible function by restricting the domain.
State Standard
CCSS
Grade Level
9 10 11 12
Learning Targets
Long Term Learning Target:
(Algebra 1) I can determine the inverse of a linear function.
Target ID
2 729
Assessments
Supporting Targets
Long Term Learning Target:
(Algebra 2) I can determine the inverse of a function by solving f(x)=c.
Target ID
4 815
Assessments
Supporting Targets
Long Term Learning Target:
(Algebra 2) I can determine by composition that one function is the inverse of another, f(g(x))=x.
Target ID
4 816
Assessments
Supporting Targets
Long Term Learning Target:
(Algebra 2) I can determine the values of the inverse function from a graph or a table.
Target ID
4 817
Assessments
Supporting Targets
Long Term Learning Target:
(Algebra 2) I can describe the domain that will produce an invertible function from a non-invertible function.
Target ID
4 818
Assessments
Supporting Targets
Discipline
Mathematics