Graphs of Functions (Part 2)

Graphs of Functions (Part 2) - Domain Recall that the...

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Domain Recall that the domain is the set of all input values to which the rule applies. These are called your independent variables. These are the values that correspond to the first components of the ordered pairs it is associated with. If you need a review on the domain, feel free to go to Tutorial 30: Introduction to Functions. On a graph, the domain corresponds to the horizontal axis. Since that is the case, we need to look to the left and right to see if there are any end points to help us find our domain. If the graph keeps going on and on to the right then the domain is infinity on the right side of the interval. If the graph keeps going on and on to the left then the domain is negative infinity on the left side of the interval. If you need a review on finding the domain given a graph, feel free to go to Tutorial 31: Graphs of Functions, Part I. Range Recall that the range is the set of all output values. These are called your dependent variables. These are the values that correspond to the second components of the ordered pairs it is associated with. If you need a review on the range, feel free to go to Tutorial 30: Introduction to Functions. On a graph, the range corresponds to the vertical axis. Since that is the case, we need to look up and down to see if there are any end points to help us find our range. If the graph keeps going up with no endpoint then the range is infinity on the right side of the interval. If the graph keeps going down then the range goes to negative infinity on the left side of the interval. If you need a review on finding the domain given a graph, feel free to go to Tutorial 31: Graphs of Functions, Part I x- intercept No matter what type of graph that you have, recall that the x -intercept is where
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the graph crosses the x axis. The word 'intercept' looks like the word 'intersect'. Think of it as where the graph intersects the x -axis . If you need more review on intercepts, feel free to go to Tutorial 26: Equations of Lines. y -intercept No matter what type of graph that you have, recall that the y -intercept is where the graph crosses the y axis. The word 'intercept' looks like the word 'intersect'. Think of it as where the graph intersects the y -axis . If you need more review on intercepts, feel free to go to Tutorial 26: Equations of Lines. Functional Value Recall that the functional value correlates with the second or y value of an ordered pair. If you need a review on functional values, feel free to go to Tutorial 30: Introduction to Functions . Example 1 : Use the graph to determine a) the domain, b) the range, c) the x -intercepts, if any d) the y -intercept, if any, and e) the functional value indicated.
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a) Domain We need to find the set of all input values. In terms of ordered pairs, that correlates with the first component of each one. In terms of this two dimensional graph, that corresponds with the x values (horizontal axis). Since that is the case, we need to look to the left and right and see if there are any end points. In
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Graphs of Functions (Part 2) - Domain Recall that the...

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