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1024worksheet3

# 1024worksheet3 - (a f x = | 2 cos(3 x |(b f x = 2 tan 2(2...

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Polytechnic Institute of NYU MA 1024/1324 Worksheet 3 Print Name: Signature: ID #: Instructor/Section: Directions: Show all your work for every problem. Problem Possible Points 1 15 2 15 3 10 4 10 5 15 6 10 7 10 8 15 Total 100 1

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2 (1) Determine whether the given function is odd, even, or neither. (a) f ( x ) = x 5 + 4 sin x (b) f ( x ) = 6 + cos (4 x ) (c) f ( x ) = cos (4 x ) x 4 + x 8
3 (2) Find the period and amplitude. (a) h ( x ) = - 3 sin ± π 7 x ² - 5 (b) w ( x ) = 7 - 8 sin(5 x + 3 π ) (c) r ( t ) = 2 cos(5 πt ) + 2

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4 (3) Determine the equation of the following graph as a sine function and a cosine function. (a) (b)
5 (4) Determine the equation of the following graph as a sine function and a cosine function. (a) (b)

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6 (5) Find the domain and range of the given function.

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Unformatted text preview: (a) f ( x ) = | 2 cos (3 x ) | (b) f ( x ) = 2 + tan 2 (2 x ) (c) f ( x ) = sin 2 x 7 (6) Given that y = 2 x 2-32 3 x 2 + 14 x-5 , (a) Find the y-intercept(s). (b) Find the x-intercept(s). (c) Find the vertical asymptote(s) (if it exists). (d) Find the horizontal asymptote(s) (if it exists). (e) Is the function even, odd or neither? 8 (7) If the graph of y = ax + b x + c has a horizontal asymptote y = 2 and a vertical asymp-tote x =-3, then a + c = 9 (8) Find a formula for the following graphs. (a) (b)...
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1024worksheet3 - (a f x = | 2 cos(3 x |(b f x = 2 tan 2(2...

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