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Algebra II 2.1-2.3 Review Name: _____________________________ Date: _______ 1. Write the equation of the line that passes through the point (6,1) and is perpendicular 3 to the line y x 2 . 7 2. Write a rule for a piecewise function for this graph. 3. Find f(-2) for the following function, f ( x) 4 x 2 5 . 4. At a movie theater, student tickets are sold for $5.50 each. a. Write an equation that models the income y from the sale of x student tickets. b. How many student tickets must be sold to have $1836 in student ticket sales? 5. Determine whether y varies directly with x. If so, find the variation constant k and write the equation that models the data. x 8 12 27 121 y 24 36 81 363 6. Sketch a piecewise function (label the important points). 2 x 2 f ( x) x 4 8 x4 4 x8 8 x 12 x 12 7. Write an equation in slope-intercept form for the line passing through the points (3,5) and (1, 6) .