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Name ____________________________

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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Parent category: Education