Assessment 03.04 Module Three QuizBelow, you are given a mapping diagram. Hint: How do the domain values determine if a relation is a function or not?

Create and justify a relation that represents a function with the given range. Write your answers as ordered pairs. (1, 11) (2, 20) (3, 34) (4, 41)The reason for this being a relation and function because of the x value or input values. And its a relation because it has equally as many input values as output values.

(1, 11) (2, 20) (3, 34) (2, 41)Now the reason why this is a relation but not a function, is because it has two of the same input values or x values in its domain making it not a function due to that rule.

Create and justify a relation that does not represent a function with the given range. Write your answers as ordered pairs.

Find the equation of the line in the graph and mathematically model the scenario using function notation where cost is a function of number of minutes.

y-intercept20

Slope1/20xwrite the equation in slope intercept formF(x)=1/20 x + 20

A textbook company keeps track of its daily cost for printing whole textbooks to different schools but can only print up to 500 books a day. The daily cost (C) to print x number of textbooks is given by C(x) = 3.50x + 1200.

Using the function, determine one possible daily cost by evaluating the function for any input of your choice. C(x) = 3.50x + 1200 X=500C (500) = 3.50(500) + 1200 C (500) = 1750 +1200C (500) = 2950

For what value of x does C(x) = 1900?

What does the 20 represent?

Well if x= 20. That means 20 has to represents the number of textbooks. Due to it being were x should be.What does the 1270 represent?

$1270 has to represents the cost to print 20 textbooks per day I suppose.What does the entire equation represent?

The entire equation represents the amount of money printing 20 books per. Day.

Interpret the statement C (20) = 1270.

What does the w represent?

The number of textbooksWhat does the p represent?

P represents price or moneyWhat does the entire equation represent?

The cost of printing w books equals p

Interpret the statement C (w) = p.

Explain whether C (40.5) = 1341.75 is correct and possible given the context of this problem.Well yes and no depending on the situation generally you cannot make have a book and then sell it but in the process of actually making a book yes, but im going to have to say for this situation no.Hint: Can you make .5 of a textbook?

Bill is able to save $35/week after working part-time and paying his expenses. These two formulas show his weekly savings:

F (1) = 35, f (n) = f (1) + f (n-1) for n > 1 F (n) = 35n Part 1: Which one of these formulas show the sequence written recursively and which shows it written explicitly? Justify your explanations. The one that is written explicitly is F (n) = 35n the reason for this is because you can generate any term in a sequence just by inputting any number. The recursive one is longer formula because you could generate terms one at a time by relating the term to one or more previous terms.Part 2: Use the recursive formula to make a table of values for 1 n 5. Show your calculations.nCalculations Answer (f(n)) 1F (n)= f(1) + f (n-1) n >1f (1-1)F (1)= 35 + f (0) F (1)= 35

2F (n)= f(1) + f (n-1) n >1f (2-1)F (2)= f(1) + f(1)F (2)= 35+ 35F (2)= 70

3F (n)= f(1) + f (n-1) n >1f (3-1)F (3)= f(1) + f(2)F (3)= 35 + 70F (3)= 105

4F (n)= f(1) + f (n-1) n >1f (4-1)F (4)= f (1) + f(3)F (4)=35+ 105F (4)=140

5F (n)= f(1) + f (n-1) n >1f (5-1)F (5)=f(1) + f(4)F (5)= 35 + 140F (5)=175

F (40)F (40) = 35(40)F (40) = 1400This means f (40) equals 1400.The reason why this is the best method is because its simple and basic your just inputting numbers of value to generate any sequence of numbers depending on the situation.Part 3: Use the explicit formula to demonstrate the most direct method to find f (40). Explain that is the best method and what your answer means. Show your calculations.

A sequence is a function from a subset of the natural numbers to the real numbers so yes in general it is. I looked that part up.What I think is that the sequence of numbers are placed in sir tent order of adding one more than once in order which would make it finite sequence or function in this case.Part4: Given the sequence of numbers: 5, 6, 8, 11, 15, 20, 26, 33, 41, explain whether or not this sequence can be considered a function.Hint: is a sequence a function?

5. Create your own equation written in standard form. 4x + 2y= 1201) Determine any point that is a solution and will be on this line. Justify your answer algebraically.Well one of the points will be (20, 20) to e solution I truly dont know what exactly that means but I know that it will be on my line because my slope is negative and goes downward from the y-intercept coordinate.

2) Explain how to find the x- and y- intercept(s) using complete sentences. Write the intercepts as ordered pairs. To find the two intercepts you must fist have an equation that its in standered format. Once its standared form (Ax+By = C) you must try to find the x value when y equals 0 and try to find the y value when x equals 0. Once this is applied you will come up with two sets of ordered pairs. This then can be graphed and you could find the x intercept and y interceptFor example 4x + 2y= 120 4x + 2y= 120 4x + 2(0) = 124(0) + 2y = 120 4x=120 2y =120 4 = 422X=30y= 60

S0 the x intercept is (30, 0)And the y intercept is (0, 60)

3) Rewrite the equation using function notation. Hint: Find the slope and use the y-intercept 4x+2y=120 -4x -4x2y = -4x + 1202y= -4x + 120 2 Y=-4x/2 + 60 F(x) =-4x/2 + 60

4) Graph the function and show the intercepts (You can use Geiger to graph the equation). Show your graph below:

6) Compare the graph from question 2 (the cell plan) and the equation from question 5. How are the graphs similar and different? Determine which has the greater y-value when x is 160 and explain how you determined it.SimilarityDifferenceCell Phone value when x= 60Your equation value when x=160Well of course the obvious similarity is that the graphs have all the components needed to make it a graph x values and y values and their intercepts.The difference is mine is just a series of numbers put together in an equation to make a simple graph. The other graph has purpose and variables with like cell phones included. F(x)= 1/20 x +20F(60)= 1/20 (60) +20F(60)= 3 + 20F(60)= 23F(x)=-4/2x + 60F(160)=-4/2x + 60F(160)=-4/2(160)+ 60F(160)=-320+60F(160)= -260