296 CHAPTER 2 Graphs and Functions 1. For the line passing through the points 1-3, 52 and 1-1, 92, find the following. (a) the slope-intercept form of its equation (b) its x-intercept 2. Find the slope-intercept form of the equation of the line passing through the point 1-6, 42 and perpendicular to the graph of 3x - 2y = 6. 3. Suppose that P has coordinates 1-8, 52. Find the equation of the line through P that is (a) vertical (b) horizontal. 4. For each basic function graphed, give the name of the function, the domain, the range, and open intervals over which it is decreasing, increasing, or constant. Chapter 2 Quiz (Sections 2.5–2.7) (a) 2 –8 8 0 x y (b) 1 2 2 0 x y (c) 2 8 –8 –2 2 8 x y 5. (Modeling) Long-Distance Call Charges A certain long-distance carrier provides service between Podunk and Nowheresville. If x represents the number of minutes for the call, where x 70, then the function ƒ1x2 = 0.40Œxœ + 0.75 gives the total cost of the call in dollars. Find the cost of a 5.5-min call. Graph each function. 6. ƒ1x2 = e 2x 2x + 3 if x Ú 0 if x 60 7. ƒ1x2 = -x3 + 1 8. ƒ1x2 = 20 x - 10 + 3 9. Connecting Graphs with Equations The function g1x2 graphed here is obtained by stretching, shrinking, reflecting, and/or translating the graph of ƒ1x2 = 2x. Give the equation that defines this function. 1 x y –2 0 –4 –4 10. Determine whether each function is even, odd, or neither. (a) ƒ1x2 = x2 - 7 (b) ƒ1x2 = x3 - x - 1 (c) ƒ1x2 = x101 - x99
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