Memory Test Review for Functions and Trigonometry

Function

Maps input values to exactly one output value.

Domain

Set of input values for a function.

Range

Set of output values of a function.

Average Rate of Change

Slope of the function over an interval.

Decreasing Function

f(a) > f(b) when a < b.

Increasing Function

f(a) < f(b) when a < b.

Relative Minimum

Point where function changes from decreasing to increasing.

Relative Maximum

Point where function changes from increasing to decreasing.

Absolute Maximum

Exists if polynomial has even degree and negative leading coefficient.

Absolute Minimum

Exists if polynomial has even degree and positive leading coefficient.

Real Zeros

Points where polynomial intersects x-axis.

Point of Inflection

Function changes concavity at this point.

Concave Down

Function's average rate of change is decreasing.

Concave Up

Function's average rate of change is increasing.

Linear Function

Has a constant rate of change.

Multiplicity

Number of times a zero is repeated.

Even Function

Symmetric over line x=0, f(-x)=f(x).

Odd Function

Symmetric about point (0,0), f(-x)=-f(x).

Residuals

Differences between actual and predicted values.

Semi-log Plot

One axis is logarithmically scaled.

Binomial Theorem

Describes the algebraic expansion of powers.

Polar Graphs

Graphs defined using polar coordinates.

End Behavior

Behavior of function as x approaches infinity.

Asymptote

Line that a graph approaches but never touches.

Holes

Points where the graph is undefined after simplification.

Y-intercept

Value of y when x=0.