Unpacked Content
Knowledge
Students know:
- Defining characteristics of linear, polynomial, rational, absolute value, exponential, logarithmic graphs, radical, trigonometric (sine and cosine), and general piecewise functions.
- Methods to use technology, tables, and successive approximations to produce graphs and tables for linear, polynomial, rational, absolute value, exponential, logarithmic, radical, trigonometric (sine and cosine), and general piecewise functions.
Skills
Students are able to:
- Determine a solution or solutions of a system of two functions.
- Accurately use technology to produce graphs and tables for linear, polynomial, rational, absolute value, exponential, logarithmic, radical, trigonometric (sine and cosine) and general piecewise functions.
- Accurately use technology to approximate solutions on graphs.
Understanding
Students understand that:
- When two functions are equal, the x coordinate(s) of the intersection of those functions is the value that produces the same output (y-value) for both functions.
- Technology is useful to quickly and accurately determine solutions and produce graphs of functions.
Vocabulary
- Functions
- Successive approximations
- Linear functions
- Polynomial functions
- Rational functions
- Absolute value functions
- Exponential functions
- Logarithmic functions
- Radical functions
- Trigonometric (sine and cosine) functions
- General piecewise functions
