321 CHAPTER 2 Test The graph shows the line that passes through the points 1-2, 12 and 13, 42. Refer to it to answer Exercises 2–6. 2. What is the slope of the line? 3. What is the distance between the two points shown? 4. What are the coordinates of the midpoint of the line segment joining the two points? 5. Find the standard form of the equation of the line. 6. Write the linear function ƒ1x2 = ax + b that has this line as its graph. 7. Connecting Graphs with Equations Use each graph to determine an equation of the circle. Express it in center-radius form. (a) x y (–2, 1) (3, 4) 0 Chapter 2 Test 1. Match the set described in Column I with the correct interval notation from Column II. Choices in Column II may be used once, more than once, or not at all. I (a) Domain of ƒ1x2 = 2x + 3 (b) Range of ƒ1x2 = 2x - 3 (c) Domain of ƒ1x2 = x2 - 3 (d) Range of ƒ1x2 = x2 + 3 (e) Domain of ƒ1x2 = 23 x - 3 (f) Range of ƒ1x2 = 23 x + 3 (g) Domain of ƒ1x2 = 0 x 0 - 3 (h) Range of ƒ1x2 = 0 x + 30 (i) Domain of x = y2 (j) Range of x = y2 II A. 3-3, ∞2 B. 33, ∞2 C. 1-∞, ∞2 D. 30, ∞2 E. 1-∞, 32 F. 1-∞, 34 G. 13, ∞2 H. 1-∞, 04 8. Graph the circle with equation x2 + y2 + 4x - 10y + 13 = 0. 9. In each case, determine whether y is a function of x. Give the domain and range. If it is a function, give the largest open intervals over which it is increasing, decreasing, or constant. (a) (b) x y 2 0 2 (b ) (1, 4) x y 4 0 1 x y 4 –4 4 0 x 0 1 –1 1 y
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