Math 1021 Section 3.2

# Math 1021 Section 3.2 - Math 1021 Sections 3.2 Properties...

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Math 1021 Sections 3.2 Properties of a Function’s Graph We will look at properties of a function’s graph. An intercept of a function is a point on the graph of a function where the graph either crosses or touches a coordinate axis. There are two types of intercepts: 1) The y-intercept, which is the y-coordinate of the point where the graph crosses or touches the y-axis. 2) The x-intercept(s), which are the x-coordinate(s) of the point(s) where the graph crosses the x-axis. Note: A function can have at most one y-intercept. This can be found by evaluating the function at x = 0, or f(0). A function can have many x-intercepts which are also called real zeros. To find x- intercept(s), you set the function f(x) = 0 and solve for all real values of x. Every function has a graph. We can use the graph of a function to determine the domain and range. The domain is the set of all input values (x-values), and the range is the set of all output values (y-values). To find the domain given a graph, read the graph from left to right looking at the x-

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Math 1021 Section 3.2 - Math 1021 Sections 3.2 Properties...

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