Composite Functions
Inverse Functions
Graphs of Functions
Piecewise Functions
Random (1 min/question)
100

f(x)=3x+2, g(x)=5x-1

Find f(g(x))

3(5x-1)+2

15x-1

100

If f(-2)=3, what is the point on the inverse graph?

(3,-2)

100

Find the domain and range of this graph.

Domain: x belongs to all real numbers

Range: y belongs to (-6, infinity)

100

2x+5, x > 0

-3x, x <= 0

Find f(3)

f(3)=2(3)+5

f(3)=11

100

What does Mr. Tam want for Christmas?

Cool socks

200

f(g(x))=-3x-7

Find f(g(3))

-16

200

If f(x)=3x-8, find the inverse function.

y=(x+8)/3

200

What is the domain and range of this graph?

Domain: x belongs to all real numbers

Range: y belongs to (-6, infinity)

200

What is the y-intercept of the following piecewise function?

3x2-7, x>2

6x+2, x<=2

y-intercept is 2

(0,2)

200

Where did Mr. Tam go to college?

UC Davis

300
h(x)=3x2-2

j(x)=x-3

Find h(j(x))

3(x-3)2-2

3(x2-6x+9)-2

3x2-18x+27-2

3x2-18x+25

300

If f(x)=x2-3, find the inverse function.

y=sqrt(x+3)

300

List the increasing and decreasing intervals for the following function.

Increasing: x belongs to (4, infinity)

Decreasing: x belongs to (-infinity, 4)

300

Graph the following piecewise function.

x, x>=0

-x, x<0

Double the points if you can name the resulting function.

|x|

300

Name 3 out of 4 of Mr. Tam's favorite hobbies

Volleyball, roller coasters, cooking, playing/listening to music.

400

f(x)=-2x+2

g(x)=x2+1

Find f(g(2))

-8

400

How do you know if a function is one-to-one?

Must pass the horizontal line test

400

List domain, range, increasing, and decreasing intervals for the following function.

Domain: x belongs to all real numbers

Range: y belongs to all real numbers

Increasing: x belongs to (-infinity, -2) U (2, infinity)

Decreasing: x belongs to (-2,2)

400

Graph the following piecewise function.

2x-5, x<=-4

-x+5, -4<x<2

(1/2)x+7, x>=2

Check graphs.

400
Which 4 teams are left in the NCAA Women's Volleyball Championships? (100 points for each team)

Baylor University, Minnesota, Stanford, Wisconsin

500
f(x)=1/x

g(x)=2+x2

Find f(g(x)) and g(f(x))

f(g(x))=1/(2+x2)

g(f(x))=2+(1/x2)

500

What are the steps to find an inverse function? (There are 2).

1. Rewrite f(x) as y. Switch x and y.

2. Solve for y.

500

List all the zeros of the following graph.

x= -2, -1, 4, 6

500
Why can a function have only one y-intercept?

If it has more than one, it is no longer a function.

500

On the fifth day of Christmas, what did my true love give to me?

Name all of them.

5 gold rings, 4 calling birds, 3 french hens, 2 turtle doves, and a partridge in a pear tree.

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