PRECALCULUS ADVANCED
PRECALCULUS ADVANCED
WORKSHEET ON GRAPHING POLYNOMIAL FUNCTIONS
No calculator. Fill in the blanks, and sketch the graph for each function.
1. [pic]
(a) Degree = ____ (b) y-intercept = _________
(c) Roots = ______________________________
(d) Sign of leading coefficient = _____
2. [pic]
(a) Degree = ____ (b) y-intercept = _________
(c) Roots = ______________________________
(d) Sign of leading coefficient = _____
3. [pic]
(a) Degree = ____ (b) y-intercept = _________
(c) Roots = ______________________________
(d) Sign of leading coefficient = _____
4. [pic]
(a) Degree = ____ (b) y-intercept = _________
(c) Roots = ______________________________
(d) Sign of leading coefficient = _____
5. [pic]
(a) Degree = ____ (b) y-intercept = _________
(c) Roots = ______________________________
(d) Sign of leading coefficient = _____
____________________________________________________________________________________________
Write a polynomial function for each graph. Leave your answer in factored form.
6. 7.
Function: ________________________ Function: _________________________
TURN->>>
Write a polynomial function for each graph. Leave your answer in factored form.
8. 9.
Function: __________________________ Function: ______________________ ________________________________________________________________________________Find the vertex, axis of symmetry, and x-intercepts, and sketch the graph.
10. [pic] 11. [pic]
Zeros: ____________ Zeros: ____________
Vertex = ___________ Vertex = ___________
Axis of sym._________ Axis of sym._________
________________________________________________________________________________
Use the given graph to answer the questions below.
12. 13.
f is increasing on ________________ f is increasing on ________________
f is decreasing on ________________ f is decreasing on ________________
Relative max. at ______________ Relative max. at ______________
Relative min. at ______________ Relative min. at ______________
f is concave up on _________________ f is concave up on _________________
f is concave down on _________________ f is concave down on _________________
Inflection points at __________________ Inflection points at __________________
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