APPC 1-2 Rate of Change Vocab

Choose the most precise and correct definition or description for Average Rate of Change.

• The instantaneous rate at a single input value

• The constant rate that produces the same overall change in output over an interval as the function

• The difference between the maximum and minimum outputs

• The rate of change where the function is concave up

Choose the most precise and correct definition or description for Rate of Change at a Point.

• The exact slope of the function at that input value, if defined

• The average rate over the entire domain

• The difference between the domain endpoints

• The zeros of the function

Choose the most precise and correct definition or description for Comparing Rates of Change.

• Can only be done for functions that are increasing

• Is valid by comparing average rates over sufficiently small intervals near each point

• Is not possible for nonlinear functions

• Compares domain sizes instead of outputs

Choose the most precise and correct definition or description for Positive Rate of Change.

• Output decreases as input increases

• Both quantities increase or both decrease together

• Output remains constant regardless of input

• Output decreases regardless of input

Choose the most precise and correct definition or description for Negative Rate of Change.

• Output increases as input increases

• Output decreases as input increases

• Output remains constant

• Output oscillates

Choose the most precise and correct definition or description for Instantaneous Rate of Change.

• The limit of average rates of change as the interval approaches zero

• The average rate over a large interval

• The midpoint of the domain

• The change in output over the entire function

Choose the most precise and correct definition or description for Interval.

• The set of all input values where the function is undefined

• A continuous subset of the domain over which rates of change are evaluated

• The set of output values only

• The zeros of the function

Choose the most precise and correct definition or description for Average Rate of Change Formula.

• f(b)f(a)b−ab−af(b)+f(a)

• f(b)−f(a)b−ab−af(b)−f(a)

• f′(a)f′(a)

• b−ab−a

Choose the most precise and correct definition or description for Rate of Change Quantifies.

• How two quantities vary independently

• How two quantities vary together

• Only the change in input values

• Only the change in output values

Choose the most precise and correct definition or description for Function’s Rate of Change.

• Always positive

• Always negative

• Can be positive, negative, or zero depending on the interval

• Is unrelated to the function’s graph