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Unformatted text preview: (3/1908) Section 2.R Review exercises 1. A What is the constant rate of change of f ( x ) = 10 x + 6 with respect to x ? 2. A Give a formula for the linear function y = g ( x ) whose constant rate of change with respect to x is 3 and whose value at x = 4 is 5. 3. A A linear function y = P ( x ) has the value 10 at x = 5 and its constant rate of change is 6. Give a formula for it. 4. A Give a formula for the linear function y = R ( x ) whose graph contains the points in Figure 1. x 1 5 y 100 300 x 50 100 y 1 2 y = S ( x ) FIGURE 1 FIGURE 2 5. A Give a formula for the linear function y = S ( x ) whose graph is the line in Figure 2. 6. A (a) Find the exact and approximate decimal values of the average rate of change of T ( x ) = 3 + 3 x e x from x = 1 to x = 2. C (b) Generate in the window 2 x 3 , 2 y 5 the graph of T and the secant line whose slope is the average rate of change from part (a). 7. A (a) Find the exact and approximate decimal values of the average rate of change of y = tan x from x = 1 . 3 to x = 1 . 3. C (b) Generate in the window 1 2 x 1 2 , 7 . 5 y 7 . 5 the graph of the function and the secant line whose slope is the average rate of change from part (a). 8. A (a) Find the approximate average rate of change from x = 3 to x = 3 of the function y = f ( x ) of Figure 3. (a) Draw the secant line whose slope is the average rate of change from part (a). x 3 3 y 5 10 15 y = f ( x ) FIGURE 3 166 Section 2.R, Review exercises p. 167 (3/1908) 9. A (a) Find the approximate average rate of change from x = 1 to x = 3 of the function y = g ( x ) of Figure 4. (b) Draw the secant line whose slope is the average rate of change from part (a). x 1 2 3 4 y 5 10 15 y = g ( x ) FIGURE 4 10....
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 Summer '08
 Eggers
 Math, Rate Of Change

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