GRAPHING POLYNOMIAL FUNCTIONS
GRAPHING POLYNOMIAL FUNCTIONS
Graph each function on your graphing calculator, and then sketch the graph on this sheet.
(1) Cubic Window: x: [-4.7, 4.7], y: [-10, 10]
a. [pic] b. [pic] c. [pic] d. [pic]
(2) Quartic a. [pic] b. [pic]
(3) Quintic a. [pic] b. [pic]
(4) Sixth-degree a. [pic] b. g(x) = -f(x)
_________________________________________________________________________________
(5) Double roots a. [pic] b. [pic]
(5) Double roots
a. [pic] b. [pic]
(6) Triple Roots a. [pic] b. [pic]
_________________________________________________________________________________
Ex. (No calculator) Fill in the blanks, and sketch the graph. Ex. Use the given graph to fill in the blanks.
[pic]
Degree = ______ y-int. = _____
Roots = ________________________
Sign of leading coefficient = _____
f is increasing on ________________
f is decreasing on ________________
Relative max. at ______________
Relative min. at ______________
f is concave up on _________________
f is concave down on _________________
Inflection points at __________________
-----------------------
Window
x: [-4.7, 4.7]
y: [-10, 10]
Window
x: [-4.7, 4.7]
y: [-60, 60]
Window
x: [-4.7, 4.7]
y: [-100, 100]
Window
x: [-4.7, 4.7]
y: [-10, 10]
Window
x: [-4.7, 4.7]
y: [-30, 30]
Window
x: [-4.7, 4.7]
y: [-30, 30]
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