UP:MA19.A2.17
Vocabulary
- Polynomial function
- Piecewise function
- Logarithmic function
- Trigonometric (sine and cosine) function
- Reciprocal function
- Radical function
- Period
- Midline
- Amplitude
- End Behavior
- Intervals
- Maximum
- Minimum
- Symmetry
- Even and Odd
- Intercepts
- Intervals
Knowledge
Students know:
- Techniques for graphing.
- Key features of graphs of functions.
Skills
Students are able to:
- Identify the type of function from the symbolic representation.
- Manipulate expressions to reveal important features for identification in the function.
- Accurately graph any relationship.
- Determine when a function is even or odd.
Understanding
Students understand that:
- Key features are different depending on the function.
- Identifying key features of functions aid in graphing and interpreting the function.
- Even and odd functions may be identified from a graph or algebraic form of a function.
Body
- For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Note: Key features include intercepts; intervals where the function is increasing, decreasing, positive, or negative; maximums and minimums; symmetries (including even and odd); end behavior; and periodicity. Extend to polynomial, trigonometric (sine and cosine), logarithmic, reciprocal, radical, and general piecewise functions.
