warm up. polynomial graphs march 17 th & 18 th, 2014
DESCRIPTION
The functions we will look at…TRANSCRIPT
Warm Up
Polynomial Graphs
March 17th & 18th, 2014
The functions we will look at…
What you will need to know…
Important Terminology
Polynomial Functions
Max/Min Points – Turning PointsUse calculator to find…
Zero
Cubic Polynomials
Investigating Transformations
Graphing Cubic Polynomials
Example
Example
Graphing Quartic Polynomials
Example
Example
End Behavior SummaryDegree Positive
Leading Coefficient
Negative Leading Coefficient
Even
Odd
Does the zero cut or touch?
If the exponent is EVEN the zero TOUCHES
If the exponent is ODD the zero CUTS (goes through)
Examples
Example
• Sketch the graph of the equation y = -x(x-1)2
Example
• Sketch the graph of the equation f(x) = (x + 1)(x – 2)(x – 4)
Example
• Sketch the graph of the equation y = -(x + 3)(x + 2)(x – 1)3
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.
Example• Write the equation for the polynomial graph shown.
Assume that all even multiplicities are 2 and all odd multiplicities are 3
Finish the worksheet
• Sketch the functions!
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
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