Math 153 Final Exam Extra Review Problems Worksheet (Page 2 of 8) in pdf

Math 153 Final Exam Extra Review Problems Worksheet Page 2

a) What’s the revenue if 160 items are sold?

b) What quantity x maximizes the revenue?

c) What’s the maximum revenue?

d) How many items should be sold in order for there to be no revenue?

8) A cannonball fired out to sea from shore follows a parabolic trajectory given by

ℎ ( ) = −

+ 10

where h is in feet and t is in seconds. Determine the maximum

height the ball reaches, the time at which the height is maximized, and the time at

which the ball hits the water.

(also graph b,c, and d)

11) Put each in the form +

. Identify the real and imaginary parts of your solution.

12) For each, put the equation in standard/transformation form by completing the

square. Find the vertex, all intercepts, the axis of symmetry, and the

intervals of increase and decrease. Sketch a graph.

a) ( ) = −2

+ 8 + 2

b) ( ) = 5

− 20 + 4

c) ℎ ( ) = −

+ − 1

14) Graph each. Label at least two points, any intercepts or asymptotes.

Also, state the domain and range:

a) ( ) = −

b) ( ) = √ −3 − 6

c) ( ) = log −

+ 1

d) ( ) = −

e) ( ) = 2ln ( − 6)

+ 3

Math 153 Final Exam Extra Review Problems Worksheet Page 2