Semester Exam Review #2 Algebra 3 And Trigonometry
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1
2
3
4Name ____________________________
Date _____________
Semester Exam Review #2
Algebra 3 & Trigonometry
1.
a.
Show that the functions f(x) =
3
√x - 2 and g(x) = x
3
+ 2 are inverses
of each other by using the algebraic definition of inverse functions.
b.
Graph f(x) and g(x) on the grid provided.
Describe the relationship between the
graph of a function and its inverse.
c.
Explain how inverses must work both
algebraically and graphically. How do
8a. and 8b relate to each other.
Write the equation for the inverse of the given function in inverse function
notation.
3
2.
f(x) = (x + 4)
– 3
3.
Write the equation f(x) = 3x
2
– 2x – 6 in vertex form by completing the
square.
Solve each equation using the method of your choice.
4.
2x
2
– 5x = 1
2
2
5.
5x
– 5x - 30 = 0
6.
9x
– 49 = 0
7.
Write a quadratic function in intercept form whose graph has x-intercepts
at 3 and 7 and passes through the point (6, -9).
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