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2.) A list of parent functions is given below. Write the equation for the functions, graph the function in the grids, and identify the key characteristics about the graphs shapes. a. Quadratic b. Cubic c. Square root f(x) = f(x) = f(x) =
e. Inverse f(x) =
3.) Explain what the following transformations do to a parent function a. f(x- a) b. f(x) + b b. f(x) d. f(-x)
x 4
Multiplying and Dividing Polynomials 1.) Define in your own words what a polynomial is.
2.) Perform multiplication on the following polynomials: a. (x + 1)(x 1) b.) (3y 5)2
c.
x 4
x 4
d.) (x+4)2
e.
x2 2
x22
f.) (x+2)3
4.) Solve the following problems using division of polynomials. (Hint: You can use long division of polynomials or synthetic division; I would try both, but thats just me because review is awesome; you cant get enough of it) a.
x 3 6 x 2 12 x 8 =? x2
b. (x 2)( ?) = x3 8