Lesson Plan

Use function notation with nonlinear functions in three directions: evaluate at an input, find every input for a given output, and compose two functions

Evaluate a nonlinear function at a numeric input, including a negative one, and at an algebraic expression such as f(a + 2) or f(2x)

Find all inputs producing a given output — generally two for a quadratic — for quadratic, exponential, polynomial, radical, and rational functions, algebraically and from a graph

Compute f(g(x)) numerically, as an expression, and from a table, and show by computation that f(g(x)) and g(f(x)) generally differ

"Use function notation to represent and interpret input/output pairs: • evaluate a nonlinear function given an input value; or, for a quadratic function, find the input value for a corresponding output." "• for exponential, polynomial, radical, and rational functions, find the input value for a corresponding output." "Understand and use the fact that for the graph of y = f ( x ), the solutions to f ( x ) = 0 correspond to x-intercepts of the graph and f (0) corresponds to the y-intercept of the graph; make connections between the input/output pairs and points on a graph; interpret this information in a context."