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rainey+m119+algebra+practice - M119 Algebra Practice 1...

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M119 Algebra Practice 1. Write each expression as a power of x. a. x b. 5 1 x c. 5 1 x d. 3 2 x 2. Find ) 9 ( f if 2 3 3 2 ) ( x x f = 3. Find ) 4 ( f for the following functions: a. 2 1 2 1 ) ( = x x f b. 2 3 ) ( = x x f 4. Given R(q) = 35q and C(q) = 700 + 15q , write and simplify R(q) – C(q) (write without parentheses and combine like terms): 5. A company can sell 50 lamps at a selling price of \$40 each. It estimates that for each dollar decrease in price, an additional 4 lamps can be sold. Express q (quantity sold) as a linear function of p (price per lamp). 6. Using the function x x g 3 ) ( = , find: a. g (2) b. g (2.001) c. g (2.001) – g (2) 7. Solve each equation for x: a. 9 4 = x b. x e = 07 . 1 c. 065 . 1 ln = x e d. x ) 03 . 1 ( 20 100 = e. x e 08 . 2 = f. 5 12 2 = x e g. t t x e ) 1 ( 04 . + = h. x e 12 . 5 . 0 =

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8. Using the graph of f(x) below, estimate the following: a. f(1) b. f(0) c. f(4) d. f(-4) e. f(-3) f. f(-5) 9. For the function in #8, answer the following questions: a. On which intervals (for what values of x) is f positive (above the x-axis)? b. On which intervals (for what values of x) is f negative (below the x-axis)?
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