2.6 Mathematical Models: Building Functions
Building Functions
Example 1. Let P = (x, y) be a point on the graph of y = x2 8.
a) Express the distance d from P to the point (0, 1) as a function of x.
b) What is d if x = 0?
c) What is d if x = 1?
Example 2.
Name:
Section Color:
Canvas Assignment: Module 2 Part A
You are allowed to work in groups of up to four students. You may use your notes. I am available for
assistance.
1. (1 point) State the domain and range for each relation. Determine whether each rela
Math 55
Concept Check
A linear system of two equations in two variables x & y is consistent and independent; the solution to the
system is (x, y) = (2, 4).
Write a system of two linear equations in slope-intercept form, where the system has a solution of
Math 55 Midterm Missed Question
Question #9/R.3.55
Simplify
2821
2 8 2 1= 15. My wrong answer.
2 8 2 1 = 14. CORRECT ANSWER
The fatality of my error is a typing mistake, I should of double check before proceeding. Rookie mistake.
Next test, I will double
2.6.17
Question- I got this question wrong and I don't know why. I followed the
example too.
Here is what I did:
I took 86.76/0.40 and I got 216.9
The example said to divide the price by the percent, and round. I did that and
got 216.9 now the question is
2.3.91
Question - When I click on view an example it shows to multiply both sides by 10 to get rid of
the decimal. However it is multiplying the entire right side by 10 and not the left side? Please
explain why? Thank you.
Answer Well, Im not sure what yo
5.1.31
Question -
How do I find the greatest common factor of decimals?
Answer - To begin, we should see that every term ( parts that are added
and here we have 4 of them) has a common factor of x. However, for the
greatest common factor ( GCF) of all fou
Question - Hi there, I'm slightly confused on how to differentiate between
using the reciprocal (1/ a number) vs. the actual reciprocal (9/7 vs 7/9).
Answer If we take any real number, call it a, we can write it as a fraction
a
. I think you understand th
1.5.39
Question - Can you please help me work this problem. I tried it diffrent ways and
I am not sure how to get the right answer.
Answer - Sure. Keep in mind that with an even number of negative factors ( here
there are two) the product will be positive
3.1.55
Question- I am having an issue with the graphing. I am clicking on the correct plots but
it is either jumping it down to the next one or over one. I am getting very
frustrated.
Answer- In section 3.2 you will be introduced to a method of graphing u
2.8.43
Question -
how is 7 20% of 8.75
Answer - 7 is definitely not 20% of 8.75. The question asks for us to make
a conclusion about how much fat is in a serving of the regular cookie. We
dont know. So lets let that quantity be represented by x. So
x = th
Question -
Hi Mr.Rogers I am stuck on this problem could I get some help?
Answer - Sure. We want to display all ordered pairs (x,y) that follow the
rule y = x + 7.
Notice what this rule basically says. Y must be seven more than x. So pick
ANY integer for
2.6.11
What is important in this problem is that the ages must all be consecutive
integers. As you know, consecutive means one more than the previous. So
because 60 is not one more than 40, the integers 39,40 and 60 are not
consecutive.
If we let x repres
2.6.19
Question - The same problem happened. It's a different problem, but the same solving method.
I did 270/0.8= 337.5 I tried 337.5, then 338, and 337. None of these answers worked.
I was told the correct answer is 250. What am I doing wrong? Can you p
1 B The graph is a vertical line and the choice x=3 matches the form x =a
which is always a vertical line.
3
2. A y x 1 the slope is negative so in the graph the line must go
5
downhill from left to right. Also the y-intercept is negative, So the graph
sh
3.4.21
Question -
I am stuck here, I need steps
b=7-3/20x(10)
I do not know how to get the final equation from this, cant find videos or anything
Y=3/20x + ?
The answer is 11/2 but I am still baffled how they got that - I tried multiplying by 10 and I get
1.7.27
Question - I am having some trouble with writing equivalent expressions using both associative law
and commutative law. It says that I can use any combonation to get an equivalent equation, but when I do it
what ever way I want, it says it is wrong
Question - Could you explain why the answer for homework problem 8.3.7 is 1/3.
Neither 2 nor 18 are square roots. It seems to me the answer should be 3 times
square of 1. Thanks for your help.
Answer - You stated that neither 2 nor 18 are square roots. Th
Assessment 3 Solution
Match each graph with the correct corresponding equation. When you post,
you only need to write the number representing the equation ( 1 through 4)
and the letter that indicates the correct graph. Also, give a very brief
justificatio
Assessment 3 Graph equations and inequalities in one and two dimensions, including
applying the concept of slope.
Match each graph with the correct corresponding equation. When you post, you only
need to write the number representing the equation ( 1 thro
Question - On
problems like this, I do not understand why we do not first
change the expession to -b^8+1 and then continue. Isn't the first step always
to put the polynomial in descending order?
Answer - No. The first step is to always check and see if th
2.4.31
Question - I missed #12 c=mr for n I was confuse getting that wrong. It says that the
correct answer is c-r/r. (Is that correct?) Im confuse on were did the extra r came
from. Some clarification would be appreciated
Answer- They probably should hav
Question My first answer was 2(x squared+ 8x). It factors out to the correct
answer, but it was wrong. I reworked it and got the correct answer,
but I was just wondering why the first wasn't correct. Can you please
explain?
Answer
Sure. When you factor p
3.2.37
Question - I am trying to do homework 3.2 and am doing fine until I get
to question 19 where I need to graph (0,0) (0,0) or where I only need
one point to graph, even when I try to change it in the edit section, it
doesn't allow me to do what I nee
Assessment 5 Be sure to read section 5.5 of the textbook starting on page
418 and become familiar with the factorization patterns presented on pages
419 and 421 BEFORE attempting this assessment.
For the following polynomials, identify the value of the le
4.3.57
Here you have x squared and x cubed terms. Use the commutative property
to group the like terms together.
1 3 1 3 1 3
1
x x x x2 x2
4
8
16
3
1 4 3 1 2 3 1 3
3 1
x x x x2 x2
4 4
8 2
16
3 3
Build up fractions to obtain a common
denominator.
4 3 2 3
For the following polynomials, identify the value of the letters that
correspond to the indicated factorization pattern. All you need to do is give
the values that should go in the yellow zones for problems 1, 2, and 3. (Hint:
you may need to factor out a
Question - can
you do this one for me step by step so I can see how one of the
3's is a - and the other is +
Answer - Sure. Lets start by finding the x-intercept. Let y =0. So substituting 0
in for y into the equation we have
5(0) 15 5 x Always let y = 0
Question- What is the meaning of the line under the greater/less than symbol?
> or< with a line under them.
Answer - It means or equal to. So, in the above example, 6 x
translates to six is less than or equal to x. Notice that for the inequality
6 x , 6 i