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# Rational Functions – “Warm Ups” PowerPoint PPT Presentation

Rational Functions – “Warm Ups”. Day 1 : Graph to Equation Day 2 : Domain Day 3 : Compare 2 Graphs Day 4 : From Chart to Equation Day 5 : Use of X^2 in Denom. Day 6 : Adding Asymptotes Day 7 : Graph to Equation 8-10 : Gate Practice. Day 1.

Rational Functions – “Warm Ups”

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### Rational Functions – “Warm Ups”

• Day 1 : Graph to Equation

• Day 2 : Domain

• Day 3 : Compare 2 Graphs

• Day 4 : From Chart to Equation

• Day 5 : Use of X^2 in Denom.

• Day 6 : Adding Asymptotes

• Day 7 : Graph to Equation

• 8-10 : Gate Practice

### Day 1

Write the equation of the rational function that will produce

the graph above.

### Day 2

For the rational equation above, write a short paragraph describing

the domain and range of this function. Include details as to why

you responded the way you did.

### Day 3

What is the equation that would create this graph?

Call this f(x).

f(x) = __________________________

A) Consider the graph

What is the equation that would create this graph?

Call this g(x).

g(x) = __________________________

B) Consider the graph

C) Is f(x) = g(x)? Explain your response. (please note that I would like to see a well thought out response)

### Day 4

X Y

-3 0.2

-2 0.11

-1 0

0 -0.143

1 -0.333

2 -0.6

3 DNE

4 -1.667

5 -3

6 -7

7 DNE

8 9

Write the equation of the rational function

that produces the table of values given here.

Include a short paragraph that discusses the

clues from the table to you used to create

### Day 5

Write the equation of the rational function that will pass between the three “gates” shown below and crosses the x-axis at the points (-3,0) and (3,0). Notice that there is a WALL on the graph. Your final rational function can not pass through this wall

Along with your final solution, include a paragraph that describes how you derived your equation.

### Day 6

Write the equation of the rational function that will pass through the

four gates below.

1

1

### Day 7

Write the equation of the rational function that creates the graph

above. (Each mark on the axis has a value of 1) Write a short

paragraph describing how you determined the equation.