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)

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(5) Double roots a. [pic] b. [pic]

(5) Double roots

a. [pic] b. [pic]

(6) Triple Roots a. [pic] b. [pic]

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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 __________________

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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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