1024worksheet1

1024worksheet1 - , 36) Your signature: (7) Find a possible...

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Polytechnic Institute of NYU MA 1024 Worksheet 1 Print Name: Signature: ID #: Instructor/Section: Directions: Show all your work for every problem. Problem Possible Points 1 10 2 10 3 10 4 10 5 10 6 10 7 10 8 10 9 10 10 10 Total 100
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Your signature: (1) Find the point where the lines intersect. l 1 : 4 x - y - 3 = 0, l 2 : 3 x - 4 y + 1 = 0
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Your signature: (2) Find an equation for the line that passes through the point (2 , 7) and is: (a) parallel to the line 3 y - 2 x + 6 = 0 (b) perpendicular to the line y - 2 x + 5 = 0 (c) parallel to the y -axis
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Your signature: (3) Find the equation of the line that passes through the given points. (a) (2 , 4) and ( - 1 , 3) (b) (4 , - 3) and (4 , - 6) (c) (6 , 7) and ( - 2 , 7)
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Your signature: (4) Find the domain and range of the given function. (a) f ( x ) = 1 x 2 (b) f ( x ) = 1 2 - x + 5 (c) f ( x ) = | x - 1 |
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Your signature: (5) Sketch the graph and specify the domain and range of the given function. (a) f ( x ) = ± - 1 , x < 0 1 , x > 0 (b) f ( x ) = 1 + x, 0 x 1 x, 1 < x < 2 1 2 x + 1 , 2 x
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Your signature: (6) Find the exponential function whose graph passes through the given points. ( - 1 , 2) and (2
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Unformatted text preview: , 36) Your signature: (7) Find a possible exponential function whose graph is given by: Your signature: (8) A photocopy machine can reduce copies to 90% of their original size. By copying an already reduced copy, further reductions can be made. (a) If is page is reduced twice to 81%, what percent enlargement is needed to return it to its original size? (b) How many times must a page be copied to make the nal copy less than 15% of the original? Your signature: (9) Let f ( t ) = Q o (1 + r ) t . Find Q o and r where f (8) = 56 . 74 and f (10) = 190 . 34 Your signature: (10) The half-life of uranium-238 is about 4.47 billion years. (a) Write a formula for the quantity, Q , of uranium left after t billion years, if the initial quantity is Q o . (b) What percentage of the original amount of uranium is left around 1 . 4 billion years?...
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1024worksheet1 - , 36) Your signature: (7) Find a possible...

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