Sect. 8-1 Families of Graphs

Def: a parent graph is an anchor graph from which other graphs in the family are derived.

f (x) x 2

Def: The degree of a polynomial is the largest exponent of the monomial with the highest degree. The leading coefficient is the coefficient of the term with the highest degree.

Determine the degree and leading coefficient of each expression

42)( .1 2 xxxf

264 11151824)( .2 nnnxf

3. Constant Function 4. Linear Function

For the following polynomial functions determine the degree of the polynomial, how many real zeros it has and the end behavior of each

5. Quadratic Function 6. Cubic Function

7. Quartic Function 8. Quintic Function

Def: a reflection flips the figure over a line called the axis of symmetry

9) Graph and

f (x) x 2

f (x) x 2

Def: a translation slides the graph vertically and/or horizontally but does not change the shape

10) Graph 1)( and )( 33 xxfxxf

11) Graph

f (x) x 4 3 2

12) If

a) find p(3)

b) find f(x+h) (translation)

12)( 3 xxxf

HomeworkPg 482 # 3, 4, 6-13, 18-29, 33 and 37