MA19.8A.30
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; and end behavior. Extend from relationships that can be represented by linear functions to quadratic, exponential, absolute value, and general piecewise functions. [Algebra I with Probability, 28]
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; and end behavior. Extend from relationships that can be represented by linear functions to quadratic, exponential, absolute value, and general piecewise functions. [Algebra I with Probability, 28]
Unpacked Content
UP:MA19.8A.30
Vocabulary
- Function
- Intercepts
- Intervals of Increasing
- Intervals of decreasing
- Function is positive
- Function is negative
- Relative Maximum
- Relative Minimum
- Axis symmetry
- Origin symmetry
- End behavior
Knowledge
Students know:
- Key features of function graphs (i.e., intercepts. intervals where the function is increasing, decreasing, positive, or negative. relative maximums and minimums. symmetries. and end behavior).
- Methods of modeling relationships with a graph or table.
Skills
Students are able to:
- Accurately graph any relationship.
- Interpret key features of a graph.
Understanding
Students understand that:
- The relationship between two variables determines the key features that need to be used when interpreting and producing the graph.
