Question 1

A) identify the name of the following below:

fix) dx

Each part of the

fix) dx can also be identified by name. As a

B) What does the represent and provide a definition using your own words.

What is the f(x) called and provide a definition using your own words.

D) What is the symbol de called and provide a definition using your own words

Ej The fix) de

has a real-world application, so let's say the monthly marginal cost for a product is MC-x+20. iffixed costs are $50, find the total cost function Cox) for the month and C(0)

Question 2

A continuous income stream is very important in business. Given the following below, the rate of change of the income produced by a vending machine is given by:

f(0) = 5,0000.04 where is the time in years since the machine was installed. Explain how to find the total income produced by the machine during the first 3 years and what mathematical

technique would be appropriate for handling continuous income streams. Be certain to show your work when providing an explanation of your answer(s)

Question 3

Functions are very beneficial to our daily lives and, although we may never stop to think about its purpose, the ideology of a function is everywhere. In the following chart below, determine if the

examples are functions. Explain why or why not

Input

Money in a

vending

machine

result,

Acar's

fficiency

Name of state

Height of a

hossed ball

Name of

Output

A soda

Gasoline miles

per gallon

Name of

sanator

Time elapsed

senator

Name of state

Number of fires Number of cars

Question 4

A) in your own words, explain what is meant by average rate of change.

B) Using the real-life application below, determine the following:

The revenue in dollars from the sale of x planter boxes is given by

ROX)=20x-0.02x²

1) Explain how to find the change in revenue if production is changed from 50 planters to 400 planters? Be certain to show your work when providing an explanation of your answer

2) Explain how to find the average rate of change in revenue for this change in production? Be certain to show your work when providing an explanation of your answer

Question 5

The functions of variables are important in business applications in the real world. Particularly important variables are profe, revenue and cost. Given the equation z=f(x,y), in your own

words, explain the following

A) What does x, y, and represent

B) What does (xy) represent

C) What does fixy) represent

D) Using the real-lile application below, determine the following: