AP Precalc AP Test prep mega quiz

If a function's rate of change is increasing...

• It is concave up

• It has a positive slope

• It is exponential growth

• Its output values are positive

A function is decreasing on an interval if...

• It is concave down

• Output values decrease as input values increase

• The slope is negative

• The outputs are negative

• The average rate of change of f on interval [a, b]

• The slope of a secant line that crosses f at x=a and x=b

• The instantaneous rate of change of f over [a, b]

• the average value of f on interval [a, b]

If a function is decreasing...

• It's outputs are below the x-axis

• It's rate of change is negative

• It is concave down

• It has negative slope

which of the following are invertible functions?

A point of inflection is:

• Where a graph crosses the x-axis

• Where the concavity changes

• Where the rate of change has a maximum or minimum

• Where the function has a turning point

A relative minimum occurs when a function..

• has a slope of zero

• changes from concave down to concave up

• Changes from increasing to decreasing

• Goes from decreasing to increasing

Multiplicity means:

• the number of times a factor occurs in a polynomial

• the highest power of a polynomial in standard form

• a rational function has a "hole"

An Even Function means:

• A polynomial's highest degree is even

• The function has reflectional symmetry across the y-axis

An Odd Function means:

• A polynomial's highest degree is odd

• The function has rotational symmetry around the origin