minute monthly limit. Write a piecewise-defined function to model the monthly cost Cx (in $) as a function of the number of minutes used for the month.

Q: A photocopy service has a fixed cost of $2000 per month (for rent, depreciation of equipment, etc.)…

A:

Q: The relationship between the amount of time a car is parked, in hours, and the cost of parking, in…

A:

Q: What are the rules for shifting, stretching, compressing, and reflecting the graph of a function?

A: To shift c units right, f(x) becomes f(x-c) To shift c units left, f(x) becomes f(x+c)   To stretch…

Q: In a proposal to some prospective clients, a housing contractor listed the following costs.   Fees,…

A: Given in a proposal to some prospective clients, a housing contractor listed the following costs.…

Q: The cost of renting a car for a day at Cars Plus is $20 plus 10 cents per mile driven. If you were…

A:

Q: A cell phone plan charges $49.95 per month plus $14.02 in taxes, plus $0.40 per minute for calls…

A:

Q: Create a table to represent the amount of money that Khalil has earned for babysitting as a function…

A:

Q: Can the graph of a one-to-one function intersect a horizontal line more thanonce? Explain.

A: A one-to-one function f(x) is defined as, Thus, we can infer from the above definition of a…

Q: Is this graph a function?

A: We have given a graph, we have to check whether the given graph is a function or not.   We will use…

Q: What is the domain and range of the graphed function?

A:

Q: What is the Scaling and Reflecting a Graph of a Function?

A: Concept: A definition of a function is that a relation from a set of inputs to a set of possible…

Q: A global data plan costs $25 a month for the first 100 megabytes and $20 for each additional 100…

A: The equation representing the cost as a function of the number of megabytes x used per month is:…

Q: EAT has been selling their very own Platinum Eco-Charger since the beginning of this semester. If…

A:

Q: If electricity has a minimum monthly charge of $25.00 and a charge of $0.40 cents per unit kilowatt…

A: From the given the minimum monthly charge is observed to be $25. And they charge $0.40 per unit…

Q: If the slope m of the graph of a linear function is_________ ,the function is increasing over its…

A: Given: If the slope m of the graph of a linear function is_________ , the function is increasing…

Q: 18. Explain in your own words why the horizontal line testdetermines whether a function is…

A: A function is said to be one-to-one if each domain value is mapped to exactly one element in range…

Q: billy-sean o'hagan notices that the demand for the college newspaper was 2,000 copies each week when…

A: Given The demand for the college newspaper was 2,000 copies each week when the paper was given free…

Q: Explain why if a horizontal line intersects the graph of a function in more than one point, then the…

A: Given:  why if a horizontal line intersects the graph of a function in more than one point, then the…

Q: An HVAC technician charges a flat fee of $99 and an additional $50 per hours. Express this as a…

A: Given that  An HVAC technician charges a flat fee of $99 and an additional $50 per hours. To Express…

Q: For a basic subscription, a cable television provider charges an activation fee of $60, plus $125…

A: Given: Activation fee = $60 Charges per month = $125

Q: Plot the fallawinet function:-

A:

Q: A banquet hall charges $975 to rent a reception room, plus $39.95 per person. Next month, however,…

A: Given that, the banquet hall charges $975 to rent a reception room, plus $39.95 per person. Let the…

Q: A pen in the shape of an isosceles right triangle with legs of length x ft and hypotenuse of length…

A: We have to write the total cost C of construction as a function of h.

Q: Find the point on the graph of the function that is closest to the given point.

A: To find the point on the graph of the function fx=x that is closest to the point 4,0

Q: Express the total revenue R as a function of the price p per item when q = -5p + 1200

A:

Q: A cell phone plan charges $49.95 per month plus $14.02 in taxes, plus $0.40 per minute for calls…

A: Given that a cell phone charges $49.95 per month +$14.02 taxes and $0.40 per minutes for calls…

Q: Your cell phone plan costs P1000/month and gives you unlimited talk, and 500 text messages per…

A: We are only allowed to solve one question at a time. Please post the remaining question separately.

Q: A salseclerk makes a base salary of $600 per week plus 15% commission on sales. Write a linear…

A: Given: Base salary of a week:  $60015%  commission on total weekly sale.

Q: y = (x +2)x² - 1

A:

Q: 11. Construct a linear function that represents the table of values shown.

A:

Q: A new $21,000 car depreciates in value by $5000 per year. Construct a linear function for the value…

A:

Q: A mobile plan charges a base monthly rate of $10 for the first 500 minutes of air time plus a charge…

A:

Q: Draw the function!- メ+ー

A: Graph the function y=x+1

Q: The number of people afflicted with the common cold in the winter months dropped steadily by 25 each…

A: As ‘C’ denotes the number of people afflicted with common cold and let ‘t’ be the years after 2002…

Q: A cell phone plan charges $49.95 per month plus $14.02 in taxes, plus $0.40 per minute for calls…

A:

Q: Define the term shifting a graph of function?

A: we have to define the term shifting a graph of function.

Q: If the slope m of the graph of a linear function is __________, the function is increasing over its…

A: Known fact: If the graph of function is increasing over a, b then f'x>0 for all x in a, b. Slope…

Q: The nationwide average salary of a computer programmer can be modeled by the equation y - 31.8 x…

A: The solution of above question is written below.

Q: 9)ソ=3 付2 +2 20 10

A:

Q: Find the domain and range of the function graphed below. 5- 3 -5 -4 -3 2 1 2 3 4 5 -3 -4 -5+ 2.

A: We will use given graph to find range and domain of function Range = set of all values of y attained…

Q: A party planner needs to figure out how much it will cost her client to rent a space and pay person…

A:

Q: The monthly cost (in dollars) of a long distance phone plan is a linear function of the total…

A: The monthly cost is the sum of the fixed cost and variable cost. The variable cost can be written as…

Q: 7. A worker gets $20/hour for a normal work week of 40 hours and time-and-a-half for overtime.…

A:

Q: The Yasuko Okada Fragrance Company(YOFC) receives a shipment of 400 cases of specialty perfumeearly…

A: Given: Let f(t)=400-80t

Q: manufacturer of electronic parts has a fixed cost of $410 and a variable cost of $17 per part…

A:

Q: During a nine-hour snowstorm, it snows at a rateof 1 inch per hour for the first 2 hours, at a rate…

A:

Q: Write a piecewise-defined function to model the monthly cost C(x) (in $) as a function of the number…

A: The Price wise function  is given below.

Q: A government considers a single person as living in poverty if his or her income falls below the…

A: here x= number of years after 1980 so for the year 2014, take x=34 the threshold will be about…

Q: Sketch the graph of the function f(x) = x. %3!

A: We know that the function f(x)=x3 maps positive numbers to positive and negative numbers to…

Q: A banquet hall charges $975 to rent a reception room, plus $39.95 per person. Next month, however,…

A: Suppose cost of an article is $x and after offering y% of discount, the discounted cost will be $x-x…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.