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.

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

    • range, represented by the dependent variable.  

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

    • domain, represented by the independent variable.  

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

    • slope.

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

    • f(a) > f(b).

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

    • f(a) < f(b).

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

    • decreasing to increasing.

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

    • increasing to decreasing.

  9. 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.

  10. 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.

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

    • at least one relative maximum or relative minimum.

  12. 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.

  13. 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.

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

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

  15. A linear function has a

    • constant rate of change.

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

    • constant.

  17. All reference angles are

    • positive.