| Some activities may require making graphs on paper. Click here to view and print graph paper, as needed. |
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| When entries require non-standard keyboard characters for functions in the form shown below, write the equations as illustrated in these examples. |
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| 1) Identify the graph that matches the piecewise function. |
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| 2) Which of the following statements is NOT true when evaluating the given value for the “greatest integer function”? |
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3) Evaluate each of the following values for the f (x) = [x]:
(a) –2.3
(b) 0.7
(c) 1.4
(d) 3.6
(e) 10.8 |
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| 4) In 2012, first class letter postage was $0.45 for up to one ounce and $0.20 each additional ounce or part of an ounce. Which step function models this scenario where x represents weight of the letter in ounces? |
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| Transformations of Absolute Value Functions |
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| In the following problems, refer to the parent function, f (x) = |x|. Identify each transformation from the parent function. Consider the horizontal movement, the vertical movement, the direction of the opening, and the stretch/compression of each function. |
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| 8) Describe the transformation of g(x) = 4|x| from the parent function, f (x) = |x|. |
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| 9) Describe the transformation of the given function from the parent function, f (x) = |x|. |
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10) Describe the transformation of the given function from the parent function, f (x) = |x|.
Hint: There are three changes. |
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| For the following questions write a function that is a transformation of the parent function f (x) = |x|. |
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16) Identify the slope (m) and y-intercept (b) for 3x + 4y = 9.
Hint: Put the equation in slope-intercept form by solving for y. (y = mx + b)
Click here to review the unit content explanation for Linear Equations. |
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17) Solve the proportion for x by using cross products.
Click here to review the unit content explanation for Solving Equations and Applications.
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18) Solve the inequality for x.
Click here to review the unit content explanation for Inequalities and Absolute Value Equations. |
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19) Find f + g if f (x) = 3x –2 and g(x) = 5x + 2.
Click here to review the unit content explanation for Functions and Inverses of Functions. |
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20) Calculate both compositions for the given functions.
Click here to review the unit content explanation for Functions and Inverses of Functions. |
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| 21) 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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