November 16, 2012
Friday, 11/16/12
Analyzing Graphs of Polynomial Functions
1. HW Check/Qs?
2. Warm up
3. Notes
4. Assignment: Page 334 # 15, 16, 21, 25, 26, 27, 29, 32, 38, 39
November 16, 2012
Warm-Up
1.
November 16, 2012
Warm-Up
Use the degree and end behavior to match
each polynomial to its graph.
November 16, 2012
Graph the polynomial by making a table of
values...
November 16, 2012
Graph the polynomial by making a table of
values...
November 16, 2012
Location Principle
November 16, 2012
Determine consecutive values of x between which
each real zero of the function f(x) = x4 – x3 – 4x2 + 1 is located.
Since f(x) is a 4th degree polynomial function, it will have 0, 2, or 4 real
zeros.
November 16, 2012
November 16, 2012
Estimate the x-coordinate of the zeros, relative
maximum, and relative minimum.
November 16, 2012
Sketch the graph of a 5-degree function
with zeros at –4, –1, and 3, and a
maximum at x = –2
November 16, 2012
Use your calculator to:
a) Estimate the x-coordinate of every turning point and determine
if these points are relative maxima or relative minima.
b) Estimate the x-coordinate of every zero
c) Determine the smallest possible degree of the function
d) Determine the domain and range of the function
November 16, 2012
1.
Sketch the graph of a polynomial with
2.
A 3rd-degree polynomial with zeros at x= -4, x= -1, and x= 3, and a
relative max at x = –2.
3.
A 5th degree polynomial with three real zeros and a negative leading
coefficient.
4.
A 4th degree polynomial with two real zeros and a negative coefficient
on the term.