Homework due Monday, 05/09/11

The homework was given to you as a worksheet and a PDF of the worksheet has also been e-mailed to you. You may use this post as the start of your new conversations about this homework. 

Homework due Tuesday, 23/08/11

Please do questions 1 through 5 from Exercise 7.4 on page 155 of your textbook. Remember, put down all that you think is important in trying to find the answer to questions, even if you are unsure about what you are doing. 

Homework due Friday, 19/08/11

Knowing Where to Draw the Line

1.      Look at the table of values, below, of a certain linear function.

x	-1	1	3	5	7
y	3	8	13	18	23

      (a) Find the gradient of the line represented in the table and, hence, find the y – intercept of the function

            as well.

      (b) Now write the equation of the line.

2.       (a) Find the gradient of the line between the points (3, -5) and (4, 2).

(b) Next, using one of the points and the gradient that you have, find the y-intercept of the linear function described by the points in part (a).

      (c) Now that you have the y-intercept, write the equation of the line described by the points in part (a).

                    

3.      By using only the graph of the linear function below, write the equation of the function.

Rate of Change - The Slippery "Slope"

We reflected upon an interesting discovery made by some of you about the rate of change of the rate of change of a Quadratic Function being constant, even if the rate of change of the function itself was not constant. Some interesting questions emerged

:

1. Is this the case with all quadratic functions?

2. What would happen if we were to analyse the rate of change of a cubic function? (Here it should be noted that I have not talked about these functions at all and Taha Mustafa mentioned them and wondered about this.) 


3. Is there a quick way to find formulas for all functions without having to do guess work?


These questions are very important and since so many of you are wondering the same thing, I think that we will address these questions sometime this term!

Keep up the great thinking!

For now just do the first page of the handout I gave you in class today and we'll take the linear functions a little bit further tomorrow.

Do bring your text book to class tomorrow!

Homework due Monday, 15/08/11

The homework questions below should be done in your homework books and you may staple the question sheet in there as well. Also, you can fold and staple the graph paper inside the homework book. Make sure to write the date that the homework was assigned, or the date that it is on top.  

1.      A mobile phone company charges a base rate of Rs 500 every month and then Rs 3 per minute for any local or long distance calls that a consumer makes within Pakistan.

     (a)    Write a function for C, the total charge on a consumer’s telephone bill, as a function of the minutes of talk    time, t, in a given month. (In other words, a formula that relates C and t, where C is the output and t the input.)

      (b)   Use your function to complete the table of values for the following inputs given below.

t	0	100	200	300	400	500	600	700	800
C

2.      The table of values below shows some of the inputs and outputs of a linear function.

x	-3	-2	-1	0	1	2	3	4	5	6
y	-2	0	2	4	6	8	10	12	14	16

(a)    Write a formula for this function, relating y and x, and then plot a graph on a separate piece of graph paper.