INSTRUCTORSCarleen EatonGrant Fraser

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### Functions

• A function is a relation in which each element of the domain is paired with exactly one element of the range.

• A relation is a function if and only if its graph passes the vertical line test: any vertical line passes through the graph at no more than one point.

• If f is a function, we use function notation to describe f. For example, we could write f(x) = 3x + 2. The function f can be evaluated for specific values of x, such as 5. We write f(5) = 3(5) + 2 + 17. Thus, f(5) is an element of the range of f.

• For the function f(x), x represents the independent variable and f(x) represents the dependent variable.

## Functions

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.