Curriculum placement
Algebra 2. This describes the skill, not a learner estimate.
Comparing functions given in different forms
Compare nonlinear functions given by different representations
Problem types
- Compare functions across representations
- Read a rational function
Builds on
- Graphs of quadratic functions
- Comparing functions
- Solving rational equations · Useful idea
A rational model is compared through its equation, table and graph.
- Asymptotes, holes, and intercepts · Useful idea
Features of a rational function are compared in its equation, table and graph.
- Average rate of change · Earlier idea
Average rate of change gives a common measure for comparing functions given as tables, graphs and formulas.
Leads to
- Linear growth against exponential growth · Extend the idea
Comparing functions in different forms extends to asking which kind of growth eventually exceeds the other.
- Choosing a periodic model · See it applied
A periodic model can be given as a table, graph or equation, and its amplitude and period are read from any of them.
- Reading slope and intercept in context · See it applied
Comparing a table, a graph and an equation of a fitted model shows how well it represents the data.
Related skills
- Shifts, stretches, and reflections of graphs · Shared foundations
- Approximating a solution from a graph · Shared foundations
- Where a line meets a parabola · Shared foundations
- A parabola as points equally far from a focus and a line · Shared foundations
- The minimum of an upward-opening quadratic · Shared foundations
Open the interactive map to explore lessons and skill connections.