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Name Period Date A2 Chapter 2 Test Find the domain and range of each relation, and determine whether it is a function. 1. {(2, 1), (–4, 5), (1, 7), (2, -3), (–1, 2)} Domain : _________________ Range : ____________________ Is it a Function? __________ 2. Suppose f(x) = 3x – 4. Find f(2) and f(-2/3). 3. a) If y varies directly with x, find k when y = 2 when x = 6. b) What is y when x is ¾? 4. Find the slope of the line through (–2, 7) and (4, 1) 5. Find the slope of the line perpendicular to y 3 1 x 2 4 Slope = _______ Slope = _______ 6. a) Find the equation of the line with the given slope through the given point. 1 slope ;(4,3) 4 b) Write the equation of the line in Standard Form. ____________________________ 7. Write the equation of the line through the pair of points. (1, 5) and (–3, 3) 8. How has the function, y x 3 2 , changed from the original function, 𝑦 = |𝑥|? 9. Graph 𝑦 = −2|𝑥 − 1| + 3 and 𝑦 = |𝑥| on the same graph. Graph each inequality. 10. 2x + 3y ≥ –6 11. y x 1 1 12. Suppose you manufacture and sell tarps. The table at the right displays your current sizes and prices. a. Draw a scatter plot showing the relationship between the area of a tarp and its price. Use area as the independent variable. b. Draw a trend line and write the equation. Size (ft2) Price c. Is this an accurate model? Explain. 35 $1.39 d. Using your model, predict the price of 250 ft2 tarp. 48 $1.99 80 120 192 200 320 $3.19 $4.79 $7.69 $7.99 $12.79