11.6.14 Inverse Functions Wrap Up · 2014. 11. 6. · Inverse Functions Wrap Up Wrap Up: Notation...
Transcript of 11.6.14 Inverse Functions Wrap Up · 2014. 11. 6. · Inverse Functions Wrap Up Wrap Up: Notation...
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Inverse Functions Wrap Up Wrap Up:
Notation for Inverse of 𝑓(𝑥):____________ Inverses switch the _____________ and the _______________. Graphs of inverses are reflected over the line ______________.
You can test to see if a function is actually the inverse of another function by…
Find the inverse of the relation or function given 1) 𝑓 𝑥 = 1,3 , 1,−1 , 1,−3 , (1,1) Is 𝑓(𝑥) a function? ________
𝑓!! 𝑥 = Is 𝑓!!(𝑥) a function? _______ 2) ℎ 𝑥 = !
!𝑥 + 2 3) 𝑦 = 2𝑥! + 3
Inverse Stations
Station 1 Find Inverse:
Domain 𝑓(𝑥):
Domain 𝑓!!(𝑥):
Range 𝑓(𝑥): Range 𝑓!!(𝑥):
Is the Inverse a function?
Station 2 Find Inverse:
Domain 𝑓(𝑥):
Domain 𝑓!!(𝑥):
Range 𝑓(𝑥): Range 𝑓!!(𝑥):
Is the Inverse a function?
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Station 3 a. Find an equation for the inverse of the function.
b. Find 𝑓 ∘ 𝑓!! (3)
c. Find 𝑓 ∘ 𝑓!! (𝑥)
d. Find 𝑓!! ∘ 𝑓 (𝑥)
e. Graph the inverse of the following function:
Station 4 Find Inverse:
Domain 𝑓(𝑥):
Domain 𝑓!!(𝑥):
Range 𝑓(𝑥): Range 𝑓!!(𝑥):
Is the Inverse a function?
Station 5 Find Inverse:
Domain 𝑓(𝑥):
Domain 𝑓!!(𝑥):
Range 𝑓(𝑥): Range 𝑓!!(𝑥):
Is the Inverse a function?
Station 6 Use the graph to determine the following: f. Graph the inverse of the following function: