Memory Test Review 1.1-1.4 Vocab Flashcards
● 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
● The set of output values of a function is called the ______, represented by the dependent variable.
Range
● The set of input values of a function is called the ________, represented by the independent variable.
Domain
● In this course, the_____________________ is what we used to think of as the slope
Average Rate of Change
● If a < b , then function f is _______________ so long as f(a) > f(b).
decreasing
If a < b , then function f is _____________ so long as f(a) < f(b).
increasing
● A function has a _______________ if at some point, the graph of the function changes from decreasing to increasing.
relative minimum
A function has a _________________ if at some point, the graph of the function changes from increasing to decreasing.
relative maximum
● If polynomial p has an even degree leading term and has a leading coefficient that is negative, we can say there is an ___________________that exists on function p
absolute maximum
● If polynomial p has an even degree leading term and has a leading coefficient that is positive, we can say there is an __________________that exists on function p
absolute minimum
● If the average rate of change over equal length interval values is decreasing, we can say that the function is _____________over that same interval
concave down
● If the average rate of change over equal length interval values is increasing, we can say that the function is ______________ over that same interval.
concave up
● A ____________________occurs when a function changes from concave down to concave up or from concave up to concave down
point of inflection