precalc math flash cards

Average Rate of Change

The ratio of the on average change in output values to the change in input values over an interval

Concave Up

The function AROC is increasing over an interval which causes the graph to curve upward

Multiplicity of a Zero

The number of times a factor appears when a polynomial is factored which shows whether the graph crosses (odd multiplicity) or bounces (even multiplicity) at the x intercept.

Vertical Asymptote

A line x=c where a rational function's output approaches ∞ or −∞, it happens when the denominator equals 0

Graph Holes

A point on a function where both the numerator and denominator equal 0, showing on the graph as an isolated hole.

End Behavior

The behavior of the values of f(x) as the input x approaches positive infinity or negative infinity

Geometric Sequence

A sequence of values where each term is found by multiplying the term before by a constant common ratio which shows an exponential growth or decay.

Arithmetic Sequence

An ordered list of numbers where each term is found by adding a constant common difference which shows a linear model with a constant rate of change.

Point of inflection

A location on a graph where a polynomial functions AROC changes between increasing and decreasing

Horizontal Asymptote

A horizontal line y=b that the graphed function approaches as the input approaches positive infinity or negative infinity