The toll T charged for driving on a certain stretch of a tollroad is $5 except during rush hours (between 7 AM and10 AM and between 4 PM and 7 PM) when the toll is $7.(a) Sketch a graph of T  as a function of the time  t, measuredin hours past midnight.(b) Discuss the discontinuities of this function and theirsignificance to someone who uses the road.

Q: Use the graph of the function f shown in the figure to the right to estimate the indicated function…

A:

Q: Sketch the graphs of the following function.   y = e2x

A:

Q: X- + 1

A:

Q: Sketch the graph of a function f for which f(0)=0

A: f(0)=0 We need to sketch the graph of the given function.

Q: Sketch the graph of the function defined by the formula 0 , x<-1 f(x) = |1– x² ,-1<x <1 x 2 1

A: Given:     To determine: the graph of f(x)

Q: From each corner of a square tin, 12 inches on the side, small squares of side x are removed and the…

A:

Q: What must be done to a function’s equation so that its graph is stretched vertically?

A: The graph of a function is stretched vertically.

Q: Sketch the graph of the function. (Restrict your graph of the function to the domain [0,5).) gx) = 5…

A: We need to plot the graph of the given function.    gx=x   ,    x∈[0,5)

Q: Sketch the graph of the function by first making a table of values.

A:

Q: Sketch a graph of the function by first making a table of values.

A: Given: fx=x-2. Here,  x-2≥0      x≥2 Therefore, the domain of fx is x≥2 and range of fx is R+  For…

Q: Me) = s.

A:

Q: Sketch the graph of the function

A: The function: y=13ex

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

A: Hx=x+1 When x=0, H0=0+1=1 When x=1, H1=1+1=2 When x=2, H2=2+1=3 When x=-1, H-1=-1+1=0 When x=-2,…

Q: Sketch a graph of the function by first making a table of values.

A: Given:          C(t) =-1t+1 Set denominator equal to zero                       t+1 = 0 ⇒…

Q: A taxi company charges $2.00 for the first mile (or part of a mile) and 20 cents for each succeeding…

A: Given, the charge for first mile is $2.00 and 20 cent for succeeding tenth mile. Find each rule of…

Q: The graph of y = |x| is shifted 5 units to the left, vertically stretched by a factor of 2, and then…

A:

Q: The average annual cost (in dollars) for health insurance in a country can be approximated by the…

A: For a function,y=f(x), the independent variable is x and the dependent variable is y . The value of…

Q: Use a graphing utility to approximate to two decimal places any relative minima or maxima of the…

A:

Q: Draw the graph of a function that is symmetric with respect to x = 2.

A:

Q: Given the function in the graph below, what is a reasonable estimate of a point at which it would…

A: The inverse of a function can be plotted on a graph by taking the mirror image of the given function…

Q: Here's is the graph to function f

A: The graph of the function fx is given by To evaluate : a All local maximum values of f : b All…

Q: 8. Sketch the graph of a function that could have the graphs of f' and f" appearing in Figure 18. y…

A:

Q: A woman 5 ft tall is standing near a street lamp-that is 12 ft tall, as shown in the figure. Find a…

A: A women 5 ft tall is standing near a street lamp that is 12 ft tall.

Q: Sketch a graph of the function by first making a table of values.

A: Given function: k(x)=-x3 Substitute the value of x=0,1 -1 2 and -2  At x=0, we get k(0)=-03k(0)=0

Q: sketch the graph of function Xy-y-1=0

A: xy-y-1=0 we can draw the graph of the function

Q: A home owner mows the lawn every Wednesday afternoon. Sketch a rough graph of the height of the…

A: We need to draw the rough graph of height of the grass as a function of time starting from Sunday…

Q: (4) Sketch a graph of the function y || 2

A: For the given function

Q: Sketch the graph of a function f for which f ' (0)=3

A: Given: f'0=3 To sketch: The graph of function f with the given property,

Q: If a cannonball is fired with a muzzle velocity of 320 feet per second, it will follow the path of…

A: Since you have asked multiple subparts question, we will solve the first three subparts  for you. If…

Q: In the theory of relativity, the mass of a particle is mo m where m, is the rest mass of the…

A: The mass of the particle is given.

Q: Sketch the graph of the function f(x)= H

A: Given,         f(x)=x2x2-x

Q: at is the graph of the function

A: Given that: f(x)=4-xx+2

Q: Sketch a graph of the function by first making a table of values.

A: Given that, f(x)=1+x The domain of function f(x)=1+x is the set of all positive numbers because the…

Q: Sketch the graphs of the following function y = 2/x

A: Given: y=2x Substitute 2 for x to determine the value of y. y=22=1 Substitute -2 for x to…

Q: Sketch a graph of the function f(x)=0.5sin(3x)

A: The given function is f(x)=0.5sin(3x)   Here 0.5 is the amplitude and 2*pi/3 is the period and we…

Q: Assume that (a, b) is a point on the graph of f. What is the corresponding point on the graph of the…

A: The point on the graph of f is a, b.

Q: If a cannonball is fired with a muzzle velocity of 320 feet per second, it will follow the path of…

A:

Q: 1. Sketch the graph of a non-linear one-to-om function (make sure your graph passes the ve and the…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: (a) What is a one-to-one function?(b) How can you tell from the graph of a function whether it is…

A: (a) The function is said to be one-one function if no two elements in the domain of the function…

Q: A cell phone plan charges $49.55 per month plus $14.02 in taxes, plus $0.60 per minute for calls…

A: Need to write down the piecewise function.

Q: Sketch the graph of a function f for which f(0) = 0, f'(0) = 3, f'(1) = 0, and f'(2) = -1. y 3 4

A: The positive regions of a function are those intervals where the function is above the x-axis. It is…

Q: Make a rough sketch of the graph of the function. Donot use a calculator.   y = e|x|

A: Consider the given function y=ex

Q: A model for the US average price of a pound of white sugar from 1993 to 2003 is given by the…

A:

Q: On what interval is the function shown in the graph positive and decreasing?

A: We have to find the interval where the graph of function is positive and decreasing .

Q: Sketch the graph of the given function by determining the appropriate information and points from…

A: given f(x)=2x3-24x-7 we have to find coordinates of relative maximum

Q: A function f(x) = 1/x is transformed into a new function R(x). To form the new function R(x), f(x)…

A: Topic:- Functions

Q: Sketch the graph of the function. y = −sec 2 x

A: Standard form of Secant function is  y = A sec ( B x − C ) + DGiven  y = − sec ( 2 x )A = − 1 , B =…

Q: Sketch the graph of the function by making a table of values. Use a calculator of necessary. h(x) =…

A: Given function is hx=1.1x. List the values of the given function as shown in below table. 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.