warm up. polynomial graphs march 17 th & 18 th, 2014
DESCRIPTION
The functions we will look at…TRANSCRIPT
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Warm Up
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Polynomial Graphs
March 17th & 18th, 2014
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The functions we will look at…
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What you will need to know…
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Important Terminology
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Polynomial Functions
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Max/Min Points – Turning PointsUse calculator to find…
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Zero
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Cubic Polynomials
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Investigating Transformations
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Graphing Cubic Polynomials
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Example
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Example
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Graphing Quartic Polynomials
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Example
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Example
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End Behavior SummaryDegree Positive
Leading Coefficient
Negative Leading Coefficient
Even
Odd
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Does the zero cut or touch?
If the exponent is EVEN the zero TOUCHES
If the exponent is ODD the zero CUTS (goes through)
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Examples
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Example
• Sketch the graph of the equation y = -x(x-1)2
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Example
• Sketch the graph of the equation f(x) = (x + 1)(x – 2)(x – 4)
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Example
• Sketch the graph of the equation y = -(x + 3)(x + 2)(x – 1)3
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Example• Sketch the graph of the equation with a double root at
–2, a single root at 5, a triple root at 0 and a double root at 2. Assume the leading coefficient is negative one. Write the equation of the function that describes the graph.
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Example• Write the equation for the polynomial graph shown.
Assume that all even multiplicities are 2 and all odd multiplicities are 3
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Finish the worksheet
• Sketch the functions!
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Classwork• Complete the worksheet #1-8• Sketch the Graph• Find the zeros• Find the relative max & mins• State the number of turning points• State the END BEHAVIOR
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Homework
A Day Edition 2• Finish Kuta Software
Worksheet• Pg. 671 #1• Pg. 672 #2, 3, 4
B Day Edition 1• Finish Kuta Software
Worksheet• Pg. 549 #1 g,h,i , #2 c• Pg.550 #1• Pg. 552 #2• Pg. 555 #1 A-D• Pg. 556 #3