Linear Functions and Graphs
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| 1) Define a relation.
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| 2) Define a function.
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| 3) Define domain.
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| 4) Define range.
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In the following problems, describe the domain and the range of each relation. Determine if the relation is a function. Explain your reasoning.
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| 5) What is the domain and range? Is the relation a function? Explain why or why not.
{(8.4, 3.8), (6.5, –2.6), (–3, 6)}
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| 6) What is the domain and range? Is the relation a function? Explain why or why not.
{(2, 0), (5, 0), (0, 5), (0, 2)}
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| 7) What is the domain and range? Is the relation a function? Explain why or why not.
{(7, 1), (7, 200)}
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| 8) What is the domain and range? Is the relation a function? Explain why or why not.
{(–1, –1), (2, 2), (4, 4), (–7, –7)}
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| 9) How many solutions can an equation in two variables have?
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| 10) How are the solutions of an equation in two variables represented?
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In the following problems, complete each ordered pair so that it is a solution to –2x + y = 3.
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| 12) Find the x-coordinate of the point (?, –4) that makes it a solution to the equation, –2x + y = 3?
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| 13) What is the x-coordinate of the point (?, 0) that makes it a solution to the equation, –2x + y = 3?
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Slope and Rate of Change
In the following questions, determine the slope of the line graphed.
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In the following problems, find the slope of the line that contains each pair of points.
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Graphing a Line on a Coordinate Plane Using a Point and the Slope
For the next two questions, draw a line on graph paper that has the given slope and contains the given point. Determine which graph is correct.
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| 21) Which graph is correct for the line that contains the given point and has the given slope?
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| 22) Which graph is correct for the line that contains the following point and has the given slope?
(3, –2), undefined slope
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| 23) Describe a real-life example which illustrates direct variation between values of numbers.
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In the following problems, “y varies directly as x.” Determine and state the constant of variation, and then write an equation of direct variation for the given x and y values.
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| 24) As y varies direct to x, what is the constant of variation and what is the related direct variation equation?
Given: y = 16 and x = 2
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| 25) As y varies direct to x, what is the constant of variation and what is the related direct variation equation?
Given: y = 4.5 and x = 1.5
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| 28) What is the perimeter of the triangle? Write the answer as a simplified expression.
Click here to review the unit content explanation for Polynomials.
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| 29) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form. |
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| No offline activities found |
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