Lesson 5 Summary

 

In this lesson you saw that it is possible to add and subtract functions. The notation h(x) = (fg)(x) is equivalent to h(x) = (fx)g(x), and is equivalent to To multiply functions using their graphs, multiply the y-coordinates for any x-coordinate. Similarly, to divide functions using their graphs, divide the y-coordinates for any x-coordinate.

 

When dividing functions, remember that there is a restriction on the domain where the function in the denominator equals zero. The range of the combined function can be determined from the graph of the combined function.

 

So far, you have usually seen a number or variable as the input for a function. In Lesson 6 you will explore how a function can be the input for a function.