# Characteristics of polynomial graphs

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Examples

**Investigating the Graphs of Polynomial Functions**

Recognize the characteristics of polynomial graphs from the following quadratic and cubic functions:

i) $P\left( x \right) = {x^2} - 3x - 10$

ii) $P\left( x \right) = - {x^2} + 3x + 10$

iii) $P\left( x \right) = {x^3} - 3{x^2} - 10x$

iv) $P\left( x \right) = - {x^3} + 3{x^2} + 10x$**Graphing Polynomials**

Sketch the following polynomials:**Identifying Polynomial Graphs**

Which of the following could be the graph of a quadratic function with a negative leading coefficient?