Test 4 Mat 1101 Functions And Equations Worksheet With Answer Key - 2010 Page 2
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28. Given f(x) = 2x – 7 and g(x) = 4 – x, find the following:
a) (f + g)(x)
b) (f – g)(x)
c) (f ◦ g)(x)
d) (f • g)(x)
2
x – 3
3x – 11
–2x + 1
–2x
+ 15x – 28
9. A rectangular garden is being built using 600 feet of edging.
a) What are the dimensions of the rectangle
b) What will be the maximum area of the
that encloses the most area?
garden?
2
150 feet by 150 feet
22,500 ft
10. A ball is thrown vertically upward with a velocity of 96 feet per second from the top of a bridge that is 300
2
feet above a river. Use the formula h(t) = –16t
+ v
t + h
to answer the following questions.
o
o
a) Find the equation h(t) that represents the height of the ball after t seconds.
2
h(t) = –16t
+ 96t + 300
b) How high is the ball after 5 seconds?
c) How long does it take for the ball to hit the river?
380 feet
about 8.2678 seconds
d) How long does it take the ball to reach
e) What is the highest distance above the
its highest distance above the river?
river that the ball reaches?
3 seconds
444 feet
11. Bob’s Burgers takes in an amount of money (revenue) each day that can be described by the function
2
R(x) = –0.002x
+ 2x, where x represents the numbers of hamburgers sold.
a) How many hamburgers need to be sold
b) What is the revenue for a day in which 200
each day to maximize the revenue?
hamburgers are sold?
500 burgers
$320
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