Unit 4

Rational Functions

100

f(x)=p(x)/q(x); where q(x) can not equal 0.

What is a rational function?

200

Double L's

What is the shape of a rational function graph?

300

xy=k

x=7

y=3

What is 21?

400

y=k/x

y=50

x=6

What is 300?

500

The quotient of two polynomial functions.

What is a rational function?

Asymptotes

100

The invisible dotted line on a rational function graph.

What is the vertical asymptote?

200

1. Set your denominator equal to 0

2. Solve for x

What is how to find the vertical asymptote?

300

xy=10

y=5/x

What is inverse variation?

400

f(x)=(x²-4)/(x²+x-2)

What is x=1?

500

This causes the numerator and denominator of a rational function to become 0/0. 

What is a hole?

Square Root Functions

100

square root (x)

What is the parent function of the square root radical function?

200

0

1

4

9

16

What is perfect squares?

300

x greater than or equal to 0

y greater than or equal to 0

What is the Domain and Range?

400

1. Form a table

2. Find your x values

3. Substitute your x values into the function

4. Solve for y

5. Write the coordinate

6. Plot the graph

What is how to graph a square root function?

500

The number underneath the radical

What is the radicand?

Cube Root Functions

100

cube root(x)

What is the parent function of a cube root?

200

-8

-1

0

1

8

What is cubes?

300

The subscript attached to the radical.

What is the index?

400

- infinity < x < infinity

- infinity < y < infinity

What is the domain and range?

500

S-shape

What is the graph of a cube root function?

Transformations

100

Graph moves from left to right

Graph moves up and down

What is a horizontal and vertical shift?

200

y= - square root (x)

What is a reflection over the x-axis?

300

y= 1/2 * square root(x+3) +7

What is to the left 3 units, up 7 units, and shrink 1/2?

400

y= a * square root (x-h) + k

transformation of a

What is the dilation?

500

y= cube root (8x-64) -5

name the transformation

What is stretch by 2, right 8, and down 5?