Assignment #1  

1. Make a question similar (but not the same!) to those in #2 of the formative assignment above.  Post your question and full solution to the Discussion

2.    For each of the following, create a function that has a graph with the given features:

 

a.   A vertical asymptote at x = 2 , a horizontal asymptote at y = 0 , no x-intercept and a y-intercept at (0,3).

 

 

b.   A vertical asymptote at x = 1, a horizontal asymptote at y = -1, and an x-intercept at  

     (4,0).

 

Assignment# 2

 

In this activity, you learned how to sketch a graph of a rational function using its properties. This process has similarities and differences to the process of sketching the graph of a polynomial function.

Summarize the similarities and differences between these two curve sketching processes. Use your own relevant examples to aid your explanation. 

Make connections to solving polynomial vs rational inequalities. 

Communicate concisely and clearly using specific reference to properties of functions. 

 

Assignment #3 

 

question#1 

The profit function for a company selling widgets is given by 

 

 where x is the number of widgets sold.  The average profit per widget is given by: .

 

a.  Write out the defining statement for A(x).  

b. What is the domain of the function, considering that it is a model for a real-life situation?

c.  What are the break-even quantities of x (i.e., when profit is zero)?

d. How much profit is earned when x = 4?

e. Sketch a graph of the average profit function A(x), including key characteristics and values. 

 

Question #2

Question 2

The value of a new car, in dollars, x years after it was purchased is modelled by:

 

a. What was the value of the car when it was new? 

b. What was the value of the car after 5 years? 

c.  What is happening to the value of the car as time passes?  

d.  What is the scrap value of the car (the least value the car can have)?

e. Sketch a graph of the function f(x), including key characteristics and values