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Q: Describe how you could use the graph of f(x) = 2x to obtain a decimal approximation for √2.

A:

Q: Draw the graph of f(x) and discuss its differentiability at x = 1

A: It is given that fx=x2x≤1xx>1. Recall the fact that formula for derivative of a function f at a…

Q: The rate of change in the number of urban transit vehicles such as buses and light-rail trains, in…

A:

Q: Consider the graph of f (x). What is the average rate of change of f (x) from x1 = 7 to x2 = 9?…

A:

Q: The owner of a luxury motor yacht that sails among the 4,000 Greek islands charges $470 per person…

A: Let the number of passenger above 20 be xthen the cost per passenger = 470 - 5x

Q: Show that the production function f (x) = - () x3 + 10x? + 5x, -∞< x< ∞ has both a concave and…

A: Find your answer below

Q: Consider the following function, where R is the revenue (in thousands of dollars) and x is the…

A:

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

A:

Q: 50. Is the function given by f(x) = 3x - 2 continuous at x = 5? Why or why not?

A: Given: fx=3x-2 Concept Used: Linear function is continuous everywhere.

Q: Sketch a rough graph of the function without using acalculator.   y=   In (x  -1 )

A:

Q: Use the graph of f to evaluate the following: 61 fx) 4 3 -1 -1+ 4 5 The average rate of change of f…

A: We can use the graphical analysis in order to solve the given problem.

Q: y = x² /9 – x

A: x=0 y=0   x=1 y=(8)^(1/2)   x=2 y=4((7)^(1/2))   x=3 y=9((6)^(1/2))

Q: 10. Identify three characteristics to the graphed function of f (x) = (÷) +1.

A:

Q: Based on data for the years 1910-2007, the expected life span of people in Country A can be…

A: to find:- Birth year.

Q: Compare the rates of growth of the functions f(x)  = x5and g(x)  = 5x by graphing both functions in…

A: To draw graph of given functions

Q: Find the average of the function over the given interval. f(x) = x3 - x over [0, 2] 0.3167 Plot the…

A:

Q: The owner of a luxury mtor yacht that sails among the 4000 Greek islands charges $400 per person per…

A:

Q: Find the total number of extreme points for the function f defined as, S-(x* +1)if xs1 f(x) = |(x-3)…

A: Given that, f(x)=-x2+1 if x≤1x-32    if  x&gt;1

Q: On which interval is the function f)= -x- increasing?

A:

Q: Use the graph of f (x) shown to identify a possible graph of f(x). 16 10 5 8- -16 Creoted with a…

A: Given: the graph of f'x.

Q: 3. Determine the x interval(s) on which the function is increasing.

A: From the given Figure, it is observed that the graph of function has local maximum at x=-4  and…

Q: Is the function below continuous at x = -5? f(x)=x3−2x2+5x+1

A: We are to simplify

Q: Consider the graph of f (x). What is the average rate of change of f(x) from x¡ = 5 to x2 = 8?…

A:

Q: Given the graph below, what can you say about the function at (-1,1)? Not Continuous Continuous

A: The graph of a function is said to be continuous if the value of the function exists for all values…

Q: What are the critical values of the graph of f(x) in the picture attatched?

A:

Q: Consider the graph of f' (x). At what value (or values) of x do f (x) have a local maximum?

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Q: /hich of the following best describes the end behavior of a function with an odd degree and negative…

A: We have, Odd degree with negative leading coefficient.

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 a rough graph of the function without using acalculator.   y=   -In x

A: To Determine: Sketch a rough graph of the function without using a calculator. Given: we have y=-lnx…

Q: se the following graphs to estimate f(g(2). 3 3 f(r) g(x) -3 3 -3 3 -3 -3 Round your answer to one…

A: Topic:- function

Q: Select the graph of the function. f(x) = In(x+9)

A: Given function, f(x) = ln(x+9) To be found : correct graph of function

Q: Consider the graph of f(x). What is the average rate of change of f(x) fromx¡ = 4 to x2 = 7? Please…

A: The average rate of change is given by the formulas, A=fx2-fx1x2-x1

Q: Is the function given by f(x) = 5X+6, for x s5, 5x-14, for x>5, continuous at x=5? Why or why not?

A:

Q: Use the graph of f(x) above to estimate the value of f'(0) to one decimal place. f'(0)=

A: From the given graph , it is observed that the function should be of the form fx=ax3 where a is some…

Q: Consider the graph of the function y= 1 - 0.333333x  What is the x intercepct on this graph?

A:

Q: Use the graph of y = f(x) to answer the question regarding the function. Step 4 of 4: Is f(x)…

A:

Q: У S 1 X

A: The function is said to be increasing in an interval if its value increases as the value of x…

Q: nterpret the domain nad range and increase / decrease of theb graph in terms of the problem…

A: Domain of a function: Domain of the function is set of all inputs where the function has defined…

Q: Compare the graphs of the functions. Y1 = In(2x) and Y2 = In 2 + In x

A:

Q: Consider the graph of f (x). What is the average rate of change of f (x) from x1 = 0 to x2 = 7?…

A: We know average rate of change formula: (Change in y) / (Change in x)

Q: Consider the function f(x)=/25-x² . Is L(x) an overestimation or an underestimation of ƒ(x) near…

A: Differentiate the function fx=25-x2 with respect to x, to find f'(x) and f''(x). Calculate f(3) and…

Q: Use the graph of f(x) above to estimate the value of f'(0) to one decimal place.

A: The graph of f(x) has a vertical tangent at the point (0,f(0)).

Q: List the critical numbers of the following function in increasing order. Enter N in any blank that…

A:

Q: Consider the graph of f(x). What is the average rate of change of f (x) from x, = 1 to x2 = 8?…

A:

Q: Consider the graph of f (x). What is the average rate of change of f(x) from x¡ = 4 to x2 = 7?…

A: Find the solution below

Q: The owner of a luxury motor yacht that sails among the 4,000 Greek islands charges $550 per person…

A: Consider the provided question,(a)Given at least 20 people sign up for the cruise and charge for the…

Q: Suppose that a function f whose graph contains no breaks or gaps on (a, c) is increasing on (a, b),…

A: Given, Suppose that a function f whose graph contains no breaks or gaps on (a, c) is increasing on…

Q: Approximate the zero of f(x) = x' - x + 3 in [-2, -1] to within 0.00001. Show your work!!!

A:

Q: If f (x) is the function whose graph is shown, on which interval is fincreasing? Use cursor to…

A: f(x) is the function whose graph is shown, on which interval is f increasing?

Q: Select all of the graphs that depict a function which is not differentiable at x=0.

A: Here, we need to select all the graphs that depict a function which is not differentiable at x=0.…

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.