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calculus 1 - x = x 4-1(iv f x = x 5 1[Hint Start with the...

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MATH1200 2004/5 Homework 3 (Calculus) 1. Draw the graphs of the lines y = 5 x - 7 and y = 11 - 2 x . 2. Sketch the graph of the quadratic f ( x ) = 2 x 2 - 3 x - 2 . Use your sketch to solve the inequality 2 x 2 - 3 x - 2 0. [By simply looking at the graph you can decide exactly when y = 2 x 2 - 3 x - 2 0 – i.e., when the graph is above or on the x -axis.] Determine the domain of the function g ( x ) = 2 x 2 - 3 x - 2. 3. Sketch the graphs of each of the following polynomials: (i) f ( x ) = 4 - x 2 (ii) f ( x ) = x 3 + 27
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Unformatted text preview: x ) = x 4-1 (iv) f ( x ) = x 5 + 1 [Hint: Start with the graph of (i) f ( x ) = x 2 (ii) f ( x ) = x 3 . . . etc.] 4. Compute each of the following without a calculator (show your work): 8 2 / 3 , 81-1 / 4 , (128) 5 / 7 , (125)-4 / 3 5. Use the algebra of exponents to simplify the following: 5 √ A 10 B 15 and 3 p x 2 y · ( xy-1 ) 4 / 3 . 6. Sketch the graph of f ( x ) = x-1 / 4 ....
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