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Precalculus Exam 2: Fall 2018 - Math.1210, Exams of Mathematics

The Fall 2018 exam 2 for the Management Precalculus course (Math.1210). It includes various math problems, such as solving equations using factoring and the quadratic formula, finding maximum profit, and graphing functions. The document also covers topics like exponent properties and function transformations.

Typology: Exams

2021/2022

Uploaded on 11/08/2022

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Math.1210(202) Management Precalculus
Fall 2018
Name:___________________________
EXAM #2
SHOW ALL YOUR WORK.
1. Solve the equations.
5𝑥214𝑥 = 3 (use factoring)
5𝑥2= 12𝑥 6 (use quadratic Formula)
2. Given the following revenue and cost function, form the profit function. Find the maximum
profit. How many units must be sold to have maximum profit.
R(𝑥)=50𝑥 0.3𝑥2
C(𝑥)= 5𝑥 + 10
pf3
pf4
pf5

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Download Precalculus Exam 2: Fall 2018 - Math.1210 and more Exams Mathematics in PDF only on Docsity!

Math.1210(202) Management Precalculus

Fall 2018

Name:___________________________

EXAM

SHOW ALL YOUR WORK.

  1. Solve the equations.

2

− 14 𝑥 = 3 (use factoring)

2

= − 12 𝑥 − 6 (use quadratic Formula)

  1. Given the following revenue and cost function, form the profit function. Find the maximum

profit. How many units must be sold to have maximum profit.

R(𝑥) = 50 𝑥 − 0. 3 𝑥

2

C(𝑥) = 5 𝑥 + 10

  1. If an object is propelled upward from a height of 16 feet at an initial velocity of 80 feet per

second, then its height after t seconds is given by the equation ℎ = − 16 𝑡

2

  • 80 𝑡 + 16 , where h

is in feet. After how many seconds will the object reach a height of 116 feet? Solve it

algebraically and graphically.

  1. The table below gives the millions of U.S. citizens with Alzheimer’s from 2000 and projected to
    1. Find a quadratic function that models this data with x equal to the number of years after

2000 and y equal to the number of millions of American with Alzheimer’s disease (round up your

numbers to four decimal places). In what year after 2000 does the model predict that 10.

millions of Americans will have Alzheimer’s disease? Solve it graphically.

Year 2000 2010 2020 2030 2040 2050

number 4.0 5.9 6.8 8.7 11.8 14.

c)

d) (

𝑓

𝑔

7. Is the function 𝑓(𝑥) = 𝑥

3

+ 4 a one-to-one function? Explain. Does it have inverse? If

does, find the inverse function algebraically. Graph the function and its inverse on the

same x-y plane. What is the domain and range for both functions?

8. Determine the parent function and describe the sequences of transformation used to

obtain the given function graph both parent function and the transformed one on the

same xy-coordinate system.

1

3

2

  1. (Extra Credit) Are f(x) and g(x) inverse functions? Show your work.

𝑓(𝑥) = 3 𝑥 − 2 and 𝑔(𝑥) =

𝑥+ 2

3