Common Core · High school
HSF-IF.B.4
High school — Interpret the key features of a graph or a table in terms of the quantities they describe.
High school — 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.
The 2 skills that cover it
- Graphs, Tables & EquationsMove fluently between the four faces of a function: equation, table, graph and words.Read the lesson →
- Rational FunctionsFind where a rational function is undefined and what its graph does there: vertical and horizontal asymptotes, holes, intercepts and end behaviour, and use them to sketch and read the graph.Read the lesson →
What a student should be able to do
- Build a table of values from an equation.
- Read a slope and intercept off a graph or a table.
- Match a graph to its equation.
- Describe a function in words from any representation.
- State the domain of a rational function and tell a vertical asymptote from a hole.
- Find the horizontal asymptote from the degrees of the numerator and denominator.
- Find the intercepts and the coordinates of a hole.
- Match a rational function to its graph, and describe its behaviour near an asymptote.