MA19.8A.30

Mathematics (2019) Grade(s): 8 - Grade 8 Accelerated

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]

Unpacked Content

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.

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
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