LINEAR FUNCTIONS
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Unit Overview
In this unit, you will study linear functions which are the most basic algebraic functions. You will also learn how to find the slope, or steepness of a line given a graph. The unit will conclude direct variation and real-life problems.
Linear Functions and Graphs
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Introduction to Functions (01:52)  |
State the domain values.
Domain: 2, 4.5, 5, 8, 10
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State the range values.
Range: 185, 260, 275, 365, 425
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*Note: The domain and range values are stated in order from least to greatest.
Would 3.75 hours be a possibility for the domain? Why or why not?
No, because the hours are rounded to the nearest half hour.
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Would $1325 be a possibility for the range?
No
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*Note: This amount, $1325 would equal 40 hours of work. [125 + 30(40)]. The employee is not permitted to work more than 38 hours in one week.
Graphing a Function -- Swimming (02:12)
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Stop! Go to Questions #1-13 about this section, then return to continue on to the next section.
Slope and Rate of Change
The slope of a line describes the steepness of the line. The slope of a line is a rate of change. A rate of change describes how one quantity changes in relation to another. The slope of a line is the ratio of vertical rise to horizontal run.
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Click here to view more examples of slope.
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Stop! Go to Questions #14-20 about this section, then return to continue on to the next section.
Graphing a Line on a Coordinate Plane Using a Point and the Slope
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Stop! Go to Questions #21-22 about this section, then return to continue on to the next section.
Direct Variation
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Stop! Go to Questions #23-28 to complete this unit.
