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Hotel Colonnade

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NAME___________________________________ MATH 123 Quiz #5 – Page 1 of 3 Due: Beginning of class 10/28/14 1. (20 points) a) Let f ( x) 

3x 3x 2  2

Is the point  1 ,  6  on the graph of f(x)?   2 5 b) If x = 4, what is f(x)? c) If f(x) = 1, what is x? d) What is the domain of f ? e) List the x-intercepts (if any) of the graph of f. f) List the y-intercepts (if any) of the graph of f.

NAME___________________________________ MATH 123 Quiz #5 – Page 2 of 3 Due: Beginning of class 10/28/14

2.

(40 points) A golf ball is hit with an initial velocity of 150 feet per second, at an inclination angle of 45° with respect to the horizontal. From physics, it is established that the height h of the golf ball is given by the function

h( x ) 
a) b) c) d)

32 x 2  x where x is the horizontal distance that the ball has traveled. 1502

Determine the height of the golf ball after it has traveled 100 feet What is the height after it has traveled 300 feet? What is the height after it has traveled 500 feet? When the ball hits the ground, how far has it traveled?

NAME___________________________________ MATH 123 Quiz #5 – Page 3 of 3 Due: Beginning of class 10/28/14 3. (40 points) A cell phone provider offers a monthly cellular phone plan for $39.99. It includes 300 anytime minutes plus $0.25 per minute for additional minutes. The following function is used to compute the monthly cost under the plan:

$39.99 C  x   $0.25 x  $35.01

if 0  x  300  if x  300 

where x is the total number of anytime minutes used. Compute the monthly cost of the phone plan for the following anytime minutes a) 200 b) 365 c) 301

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