Algebra II Midterm

End Behavior

Describes what happens to the function values as x approaches pos and neg infinity

Leading Coefficient

The non-zero factor that’s multiplied by the greatest power of x

Degree of a Polynomial

The greatest degree of any of the terms

Synthetic Division

Method used to divide a polynomial by a linear expression in the form x-a

Step Function

Pairs every input in an interval w the same output value

Minimum

Pt at which the function goes from decreasing to increasing

Maximum

Pt at which the function goes from increasing to decreasing

Piecewise-Defined Function

Function that has diff rules for diff parts of its domain

Transformation

Maps each pt of a functions graph to a new location

Zero of the Function

Input value that results in a function output value of 0; x and y intercepts

reflection across x-axis

-(x²) , -x² ; Make y neg

Reflection across y-axis

(-x²) ; Make x neg

Vertical Dialation

K • f(x) ; Stretch when K > 1 , Compress when 0 < K < 1

Horizontal Dialation

f(kx) ; Stretch when 0 < k < 1 , Compress when k > 1

Translation

looks like: x + 2 , x - 2

Reflexion

(-x) , -(x)

#’s outside grouping symbol affect:

y value

#’s inside grouping symbol affect:

x value