Nonlinear functions

Learning objectives

Evaluate nonlinear functions given by an equation, a table or a graph and interpret function notation in context

Find the vertex, axis of symmetry, intercepts and maximum or minimum value of a quadratic function, converting between standard, factored and vertex forms

Build exponential growth and decay functions from a percentage rate or a table and interpret the initial value and growth factor

Relate the zeros, factors and x-intercepts of a polynomial function and use the remainder when dividing by x − k

Identify the graph of a quadratic, exponential, polynomial, rational or radical function and describe its end behavior and asymptotes

Describe how the graph of f(x) changes under translations, reflections and stretches, and write the equation of the transformed function