Graph Simple Rational Functions

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9.2 Graphing Simple Rational Functions

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Presentation transcript:

Graph Simple Rational Functions Notes 8.2 (Day 1) Graph Simple Rational Functions

Rational Function: p(x) and q(x) are polynomials, q(x) ≠ 0. THE DEGREE ON THE TOP AND BOTTOM IS THE MOST IMPORTANT PART!!!

We will be studying a special type of rational function. It will have just a number in the numerator (degree 0). It will have a degree of 1 in the denominator. THIS IS A SPECIAL TYPE OF RATIONAL FUNCTION!!!!

Graphing Simple Rational Functions in the form: Step 1: Draw a coordinate plane. Step 2: Draw and label a vertical asymptote at the h value (h value is opposite of what you think) Step 3: Draw and label a horizontal asymptote at the k value Step 4: Make a t-chart with 3 values to the left and right of the vertical asymptote Step 5: Plot the Points Step 6: Connect the points (both sides are continuous) Step 7: State the Domain and Range YOU HAVE MADE a HYPERBOLA!!! Remember: Your graph WILL NOT go through the asymptotes and the graphs should reflect across the asymptotes. If there is no h, it is 0! If there is no k, it is 0!

Graph the function. State the domain and range.

Graph the function. State the domain and range.

Graph the function. State the domain and range.

Graph the function. State the domain and range.

Graph the function. State the domain and range.

Homework: Page 561 3-22