AP Precalc Unit 1 Test

Rate of change of f is increasing

Graph of f is concave up

Rate of change of f is decreasing

Graph of f is concave down

odd functions

f(-x)= -f(x)

even functions

f(-x)=f(x)

End behavior: Odd degree

end behaviors are in opposite directions (arows)

End behavior: even degree

end behaviors are in same direction (arrows)

linear function

if both input and output values change consistently (constant)

Quadratic function

if input changes consistently and the 2nd difference of output values are equal

Cubic function

if input changes consistently and the 3rd difference of output values are equal

determining if f(x) pos or neg

below or above x-axis

Determining if Rate of change positive or negative

look if line is going upward(increasing) or downward(decreasing)

define interval

Its like a map. Read it horizontally (x’s). Write it with brackets/or parenthesis

Shortcut for which ROC is the least when given intervals

if line goes (up) ignore it because want the steepest downward.

For tables 2nd differences (in terms of concavity)

tell you if a f(x) is concave up or down depending if its increasing or decreasing

How to factor trinomials LC=1

1. term w/ highest exponent upper left

2. value with no letter in lower right

3. split the upper letter box

4. — x — =c and —+—=—b

5. put the two numbers you get in remaining boxes

6. then say what times the split number on top gets me to my remaining box value

How to Factor trinomials when LC not 1

1. term w/ highest exponent upper left

2. value with no letter in lower right

3. multiply a and c (left box times right)

4. — x — =a&C and —+—=—b

5. split the upper letter box

6. put the two numbers you get in remaining boxes

7. factor out GCF for a column

8. put that number on top of column