APPC 1-3 ROC in Linear & Quad Vocab

Select the most accurate description or definition for each term. Average Rate of Change for a Linear Function

• Varies depending on the input interval length

• Is constant over any input interval

• Can be modeled by a quadratic function

• Is zero only at the origin

Select the most accurate description or definition for each term. Average Rates of Change for a Quadratic Function

• Are constant over consecutive equal length intervals

• Form a linear function when computed over consecutive equal length intervals

• Increase exponentially

• Are unrelated to the function’s concavity

Select the most accurate description or definition for each term. Slope of the Secant Line

• The average rate of change between two points on the graph

• The instantaneous rate of change at a point

• The y-intercept of a function

• The maximum value of the function

Select the most accurate description or definition for each term. Average Rate of Change Function for a Linear Function

• A constant function with zero rate of change

• A linear function with constant positive slope

• A quadratic function

• A function that always decreases

Select the most accurate description or definition for each term. Average Rate of Change Function for a Quadratic Function

• Constant

• Linear with a constant rate of change

• Quadratic with increasing rate of change

• Zero

Select the most accurate description or definition for each term. Changing Average Rate of Change Over Small Intervals

• Indicates the graph is concave up if increasing

• Indicates the graph is concave down if increasing

• Means the function is linear

• Means the function is constant

Select the most accurate description or definition for each term. Concave Up Graph

• Average rate of change over equal intervals is constant

• Average rate of change over equal intervals is increasing

• Average rate of change over equal intervals is decreasing

• Function is decreasing

Select the most accurate description or definition for each term. Concave Down Graph

• Average rate of change over equal intervals is increasing

• Average rate of change over equal intervals is decreasing

• Average rate of change over equal intervals is constant

• Function is increasing

Select the most accurate description or definition for each term. Secant Line Between Points (a, f(a)) and (b, f(b))

• Has slope equal to the average rate of change over [a,b]

• Has slope equal to the instantaneous rate of change at a

• Is always horizontal

• Is the tangent line at point a

Select the most accurate description or definition for each term. Rate of Change of the Average Rate of Change for a Linear Function

• Zero

• Constant and non-zero

• Increasing

• Decreasing