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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