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Rational Functions – “Warm Ups”PowerPoint Presentation

Rational Functions – “Warm Ups”

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Rational Functions – “Warm Ups”

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- 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

Write the equation of the rational function that will produce

the graph above.

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.

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)

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

your equation.

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.

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

four gates below.

1

1

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.