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Rational Functions – “Warm Ups”

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.

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Rational Functions – “Warm Ups”

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  1. 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

  2. Day 1 Write the equation of the rational function that will produce the graph above.

  3. 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.

  4. 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)

  5. 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 your equation.

  6. 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.

  7. Day 6 Write the equation of the rational function that will pass through the four gates below. 1 1

  8. 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.

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