MA19.PRE.25
Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph. Extend from polynomial, exponential, logarithmic, and radical to rational and all trigonometric functions.
Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph. Extend from polynomial, exponential, logarithmic, and radical to rational and all trigonometric functions.
Unpacked Content
UP:MA19.PRE.25
Vocabulary
- Average rate of change
- Specified interval
- Difference Quotient
Knowledge
Students know:
- Techniques for graphing.
- Techniques for finding a rate of change over an interval on a table or graph.
- Techniques for estimating a rate of change over an interval on a graph.
Skills
Students are able to:
- Calculate average rate of change on a specified interval when given an equation or table ofa polynomial, exponential, logarithmic, and radical to rational and all trigonometric functions.
- Interpret the average rate of change of a polynomial, exponential, logarithmic, and radical to rational and all trigonometric functions in the context of a problem when given symbolic representations, tables, graphs, or contextual situations.
- Estimate the average rate of change for a specific interval of a polynomial, exponential, logarithmic, and radical to rational and all trigonometric functions functions when given agraph.
Understanding
Students understand that:
- The rate of change is the ratio of the change between the dependent and independent variable.
