A cell phone plan charges $49.95 per month plus $14.02 in taxes, plus $0.40 per minute for calls beyond the 600 minute monthly limit. Write a piecewise-defined function to model the monthly cost C(x) (in $) as a function of the number of minutes used x for the month.

Q: Express the perimeter P of a rectangle as a function of the width W if the length of the rectangle…

A: GIVENThe length of the rectangle is twice its width W

Q: Sketch a graph of the function f(x) = x* – 4x' + 5

A: Given: fx=x4-4x3+5

Q: Express the function graphed on the axes below as a piecewise function.

A: The graph is,

Q: Sketch the graph of the function y = 3−∣x∣

A: We make a table for the given function

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

A: Explanation: Given that,  Rate of snowstorm first two hours = 1 inches/hours Rate of snowstorm next…

Q: What are the x- and y-intercepts of a function, and how are they found?

A: The x-intercept is the length from origin to where the graph of the function cut the x-axis.   The…

Q: Plot five points on the graph of the function f(x)=(1/2)^x

A: f(x) = (0.5)x Because 1/2=0.5

Q: 4) State the Piecewise Function for the graph below. { } f(x) = - { }

A:

Q: Sketch the graph of the function.

A: Sketch the graph of the function. g(x)=x-1

Q: You have 1000 feet of fencing to enclose a rectangular playground and subdivide it into two smaller…

A: Given the perimeter (or) Total length of fencing is 1000 ftFrom the given figure total length of…

Q: The concentration of salt x in a homemade soap maker is given as a function of time by

A:

Q: Sketch the graph of the function f(x) = 1 - 2(x - 3)2.

A: Sketch the graph of the function f(x) = 1 - 2(x - 3)2. the function can be rewritten as…

Q: Sketch a graph of the function by first making a table of values. g(x) = x2 + 2x + 1

A: gx=x2+2x+1⇒gx=x+12 When x=-2, g-2=-2+12=1 When x=-1, g-1=-1+12=0 When x=0, g0=0+12=1 When x=1,…

Q: Sketch the graph of the function y = 2x

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

Q: Estimate the slope of the function (x) at x = -1 using the graph below.

A: Given function is passing through (-1,-1) and (0,-1) and function f(x) has two points at which…

Q: Sketch the graph of the following function 3x2 f(x) = x2 – 4 -

A: Given: f(x)=3x2x2-4

Q: Suppose that Px represents the percentage of income spent on health care in year xand represents…

A: Given, P(x) represents the percentage of income spent on health in year x. I(x) represents income in…

Q: Sketch the graph of the function. h(x) = 5x−2

A: hx=5x-2 Let us find the points on the given function by arbitrarily choosing the values of x. When…

Q: F(X)= (x-1]² (x+8)

A: Given query is to find the x intercept and their behaviour.

Q: A store owner estimates that by charging x dollars each for a certain lamp, he can sell 40 – x lamps…

A: Given  number of lamps sell each week by charging x dollars each = 40-x

Q: What does it mean for a function to be defined implicitly by an equation?

A: An implicitly defined function is a function that is presented as the solution of some equation or…

Q: A farmer wishes to fence the perimeter of a rectangular lot with an area of 1600 square feet. if the…

A:

Q: The aerobic rating of a person x years old is modelled by the function A(x) = 110(In x-2) for x 2…

A: The maxima and minima can be found for the function by differentiation. For the values of maxima the…

Q: 6) f(x) = 4 .

A:

Q: Sketch a graph of the function by first making a table of values. r(x) = 3x4

A: Consider the given function. rx=3x4 x -3 -2 -1 0 1 2 3 rx=3x4 243 48 3 0 3 48 234

Q: Sketch the graph of the function.

A: the given function is: hx=5x-2 we have to sketch the graph of the given function.

Q: The total attendance at a contemporary art museum is modeled by the function f(x) = 18,933(1.047)'.…

A: The total attendance of the contemporary art museum is modeled by the function ; f(x)=18,933(1.047)x…

Q: Sketch the graph of the function f(x) = (2x − 1)/(x + 1)(x − 3)

A:

Q: What is the significance of the point where the graph of a linear function and its inverse intersect

A: Let f be a function such that  f(x) =y Then f-1(y)=x The point of intersection of the graphs of f…

Q: sketch a graph of the function f(x)=2|x-4|-2

A: We can sketch the graph of the function by taking necessary points as below.

Q: Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in…

A: Given query is to find the height of candle after 14 hours.

Q: Express the perimeter P of a rectangle as a function of the width W if the length of the rectangle…

A: According to the given information:P is defined as the perimeter of the rectangleW be the width of…

Q: Is y=2x+1 a function or not?

A:

Q: How can I tell if a graph is the function of x?

A: HOW TO: GIVEN A GRAPH, USE THE VERTICAL LINE TEST TO DETERMINE IF THE GRAPH REPRESENTS A FUNCTION OF…

Q: Draw the graph of the function f(x)=(2)15

A: This is a problem related to graph of the linear equation. Based on the intercepts value we will…

Q: A house purchased for $250,000 in 2010 increases in value by $10,500 each year. a. Express the value…

A: Explained below

Q: Sketch a graph of the function by first making a table of values. H(x) = |2x|

A: Solving this question, we start by making the table of the equation for values -3, -2, -1,0, 1, 2…

Q: sketch the graph of the function y= x-4X +3

A:

Q: Express the altitude of a right triangle as a function of the base, if the hypotenuse is 20.

A:

Q: a taxi ride costs 40pesos for the first 500 meters and each additional 300 meters (or a fraction…

A:

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

A: Given that: Rate of fall of snow for the first 2 hours = 1 in/hrRate of fall of snow for the next 6…

Q: A 12-inch tall sunflower is planted in a garden and the height of the sunflower increases by 8% per…

A: As per our guidelines, we are allowed to answer first three sub-parts only. Thanks A 12-inch tall…

Q: What are the features of the function f(x) 1 graphed below?

A:

Q: minute monthly limit. Write a piecewise-defined function to model the monthly cost Cx (in $) as a…

A: Given: A cell phone plan charges $48.35 per month plus $14.06 in taxes, plus $0.20 per minute for…

Q: Sketch the graph of the function: f(x,y)=10-4x-5y

A: Given:

Q: The length of a rectangle is 3 inches more than the width. Which of the following represents the…

A:

Q: Match the function with its graph

A:

Q: The graph of f(x)=x^2 rises or falls to the left? And does it rise or fall to the right?

A:

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.