Concepts Operations &

Inverses

Special Wildcard

Introduction

Main BoardConcepts Operations &

Inverses

Special Wildcard

1. Which of the relations shown are functions?

2. Which are one-to-one functions?

1 Category $100

A. {(-7, 3), (-8, 3), (-1, 4), (0,8)}

B. | y+1 | = x

C.

1. What is the domain of function k ?

k(x) = 2x-4

1 Category $200

1 Category $300

Sketch the inverse of the function shown

at the right.

1 Category $400

A. y = 3x + 1

B. y = – | x | + 4

C. y = 4x2

D.

Which of the functions shown have inverses? How do you know?

(Note: you do NOT have to find the inverses)

2 Category $100

f(x) = 2x – 7

g(x) = 3x2

h(x) = 5x – 3

1. ( f – h ) (x) = ?

2. ( f – h ) (3) = ?

2 Category $200

f(x) = 2x – 7

g(x) = 3x2

h(x) = 5x – 3

What is ( h f g) (x) ?

2 Category $300

f(x) = 2x – 7

g(x) = 3x2

h(x) = 5x – 3

1. Find f -1(x)

2. Find f -1(f (g (g -1(x)))

2 Category $400

The volume of a sphere is given by the

formula

V = 4/3 r 3

If the radius is doubled, the volume of the

sphere is how many times larger?

3 Category $100

3x2 + 12, x -2 f(x) = – 6 , x < -2

1. f (-1) = ?

2. f (-7) = ?

3 Category $200

n f(n)

1 62 103 164 245 346 46

Write a recursive function that describes

the pattern shown in the table.

3 Category $300

Write a linear or quadratic function to represent the recursive function:f(0) = 2f (n) = f (n – 1) + 5

3 Category $400

Graph the compound (piecewise) function:

| x | , x -2 f(x) = – (x + 2)2 + 2 , x < -2

4 Category $100

8, 2, 5, 7, 5, 9, 37, 6, 5, 12, 6, 11

Find the mean, median, mode, and range.

Which is the most representative indicator of

central tendency in this case?

4 Category $200

I surveyed 10 people as to their annual salary. The results are listed below.

Create a box-and-whisker plot to represent the data.

26,000 20,000 31,000 26,20024,200 80,000 75,000 79,100 22,100 64,000

4 Category $300

What is the equation of the graph shown?

4 Category $400

Find x.

x 1 2

-3 1 1 = 0

4 0 x

DAILY DOUBLE

Decide how much of your earnings you are willing to wager on the next daily double question. Write that number in the upper right hand corner of your paper

and circle it.

FINAL INTRO

Decide how much of your earnings you are willing to

wager on the Final Jeopardy question. Write that number in the upper right hand corner of your

paper and circle it.

FINAL QUESTION

Tell Mr. Bretsch

to write it on the board!