In problems 1-4, match the numerical triples to 7. If f(x) = x2 + 3, g(x) = vx - 5 and H(x) = x 2: the graphs. For example, in Problem 1, A: 3, 3, 6 (a) evaulate f(1), g(1) and H(1). is "over and up" so it matches graph (a). (b) graph f(x), g(x) and H(x) for -5 x $ 10. 1. A: 3, 3, 6; B: 12, 6, 6; C: 7, 7, 3 D: 2, 4, 4 (c) evaluate f (3x), g(3x) and H(3x). d (d) evaluate f(x +h), g(x + h) and H(x + h). 8. Find the slope of the line through the points P and Q when: 2. A: 7, 10, 7; B: 17, 17, 25; C: 4, 4, 8 D: 12, 8, 16 (a) P = (1,3), 0= (2,7) (b) P = (x, x2 + 2), @ = (x th, (x+ h)2+2) (c) P = (1,3), Q = (x,x2+2) 3. A: 7, 14, 10; B: 23, 45, 22; C: 8, 12, 8 D: 6, 9, 3 (d) P, Q as in (b) with x = 2, x = 1.1, x = 1.002 9. Find the slope of the line through the points P and Q when: (a) P = (1,5), Q = (2,7) 4. A: 6, 3, 9; B: 8, 1, 1; C: 12, 6, 9 D: 3.7, 1.9, 3.6 (b) P = (x,x2 +3x - 1), Q = (xth, (x+h)2 + 3(x+h)-1) d (c) P, Q as in (b) with x = 1.3, x = 1.1, x = 1.002 10. If f(x) = x2 + x and g(x) = ?, evaluate and sim- 5. Water is flowing at a steady rate into each of the plify f(ath) -f(a) g(ath) -8(a) bottles shown below. Match each bottle shape when with the graph of the height of the water as a a = 1, a = 2, a = -1, a =x. h function of time 11. If f(x) = x2 - 2x and g(x) = vx, evaluate and simplify f(ath) - f(a) and g( ath) - g(a) h when a = 1, a = 2, a = 3, a = x. 12. The temperatures shown below were recorded during a 12-hour period in Chicago. (a ) (b ) (c ) (a) At what time was the temperature the highest? Lowest? (b) How fast was the temperature rising at 10 a.m.? height At 1 p.m.? time (c) What could have caused the drop in tempera- A B ture between 1 p.m. and 3 p.m