Sophia: Evaluating a Function for a Function: Lesson 8

Analyze functions by decomposing complex functions and composing simple functions. Through a detailed lesson plan, pupils learn the vocabulary and notation related to the composition of functions. Practice includes both evaluating and...

High schoolers evaluate functions graphically and algebraically. After completing that step, they write a statement describing the input and output.

Sal draws a graphical representation of a function, f(x), and builds and evaluates other functions based on that function.

Introduce the basics of evaluating a function using function notation with a video that makes connections between evaluating a function and substituting into an expression. The short presentation works through three examples of...

Extending his asymptotes lesson from the previous video, Sal shows viewers another example of graphing rational functions. This video is shorter than the previous one and could be shown in a single class session.

Watch as your knowledge of quadratic functions grows parabolically. An educational video shows scholars how to graph quadratic functions. The method shown here is to create a table of values and graph the function by hand.

Starting from a brief look at functions and the mapping of domains to ranges, Sal starts with an intuitive sense of what a function inverse is. Using an example, he then shows how to find the inverse of a function and how the graph of...

Determine the equation to use in evaluating a piecewise function. Learners watch a video on evaluating a piecewise function. They confirm the equation to use based on the domain and then use substitution to find the value of the function...

Take your kids on a tour of graphing rational functions. Using this TI activity, high schoolers identify the end behavior of their functions. They find the domain and range, describe end behavior, and look at asymptotes and restrictions...

Reverse the wrapping to get to the gift. Using the idea of unwrapping a gift, the lesson introduces the concept of inverses. Pupils first determine the order needed to evaluate a function at a point, then use the reverse to find the...