MA19.PRE.24
Compare and contrast families of functions and their representations algebraically, graphically, numerically, and verbally in terms of their key features. 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; asymptotes; and periodicity. Families of functions include but are not limited to linear, quadratic, polynomial, exponential, logarithmic, absolute value, radical, rational, piecewise, trigonometric, and their inverses.
Compare and contrast families of functions and their representations algebraically, graphically, numerically, and verbally in terms of their key features. 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; asymptotes; and periodicity. Families of functions include but are not limited to linear, quadratic, polynomial, exponential, logarithmic, absolute value, radical, rational, piecewise, trigonometric, and their inverses.
Unpacked Content
UP:MA19.PRE.24
Vocabulary
- Function
- Relative Maximum
- Relative Minimum
- Symmetry (Even/Odd)
- End Behavior
- Asymptotes
- Intercepts
- Increasing/Decreasing Intervals
- Periodicity
- Absolute Maximum
- Absolute Minimum
Knowledge
Students know:
- Properties of functions and make connections between different representations of the same function
Skills
Students are able to:
- Compare properties of functions when represented in different ways (algebraically, graphically, numerically in tables or by verbal descriptions).
Understanding
Students understand that:
- Each representation provides a unique perspective of the function.
- Different representations are most appropriate for revealing certain key features of the function
