AP Pre Calculus Unit 1 & 2 Memory Test Review

1. A mathematical relation that maps a set of input values to a set of output values such that each

• input value is mapped to exactly 1 output value is defined as a function.

1. The set of output values of a function is called the

• range, represented by the dependent variable.  

1. The set of input values of a function is called the

• domain, represented by the independent variable.  

 

1. In this course, the average rate of change is what we used to think of as the

slope

1. If a < b , then function f is decreasing so long as 

(f)a is greater than (f)b

1. If a < b , then function f is increasing so long as 

(f)a is less than (f)b

A function has a relative minimum if at some point, the graph changes from

decreasing to increasing.

A function has a relative maximum if at some point, the graph changes from

increasing to decreasing.

1. If polynomial p has an even degree leading term and has a leading coefficient that is negative, we can say there is an

• absolute maximum that exists on function p.

1. If polynomial p has an even degree leading term and has a leading coefficient that is positive, we can say there is an

• absolute minimum that exists on function p.

1. Between 2 real zeros of a polynomial, there must be

• at least one relative maximum or relative minimum.

1. If the average rate of change over equal length interval values is decreasing, we can say that the function is

• concave down over that same interval.

1. If the average rate of change over equal length interval values is increasing, we can say that the function is

• concave up over that same interval.

1. A point of inflection occurs when a function changes from

• concave down to concave up or from concave up to concave down..

Linear Function Rate of Change

A linear function has a constant rate of change.

Quadratic Function Rate of Change

The rate of change of a quadratic function’s rate of change is constant.

Reference Angles

All reference angles are positive.