Vertical Line Test for Functions In Exercises81 and 82, sketch the graph of the equation. Then use theVertical Line Test to determine whether the graphrepresents y as a function of x.81. y = (x − 3)2 82. x = −∣4 − y∣

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A: The equation is tested using vertical line test to find the equation is a function…

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A:

Q: Use the vertical line test to determine wheter the graph represents y as a function of x

A: we have determine whether the graph represent y as a function by using vertical line test

Q: Testing for Functions RepresentedAlgebraically In Exercises 71–74, determine whetherthe equation…

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Q: Use the Vertical Line Test to determine whether y is a function of x. x = |y|

A:

Q: Use the vertical line test to determine whether or not the graph is a graph in which y is a function…

A: Please refer the attached image for complete solution.

Q: Sketching a Graph Sketch the graph of a differentiable function f such that f > 0 and f' < 0 for all…

A:

Q: -9, f' (-1) = 0, 6. f (–1) = – f (2) = -1, f' (2) = 3, f (5) = 4, f' (5) -1

A: Here is the solution of the given problem. Rough sketch of a function

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A: For analyzing the graph of a function following concepts are useful: i) Zeros of the function ii)…

Q: \text { Sketch the graph of } f(x)=e^{x} \text { . }

A: fx=ex, when x=0, fx if f0=1 Therefore, the graph will cut the y-axis at 0,1 f'x=ex, when x=0, f'x is…

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A: Authoring guidelines:…

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A:

Q: Slope of a Tangent Line In Exercises 97–100, find theslope of the tangent line to the graph of the…

A: y=e-3x

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A:

Q: Writing Functions In Exercises 79–82, write an equationfor a function that has the given graph. 79.…

A: Given points: -2, 4 and 0, -6   ……1

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A: We have to draw

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A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

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A:

Q: Calculus 11th Edition - Rons Larson Chapter 3.4 - Concavity and the second derivative test Please…

A: Let the given function as It can be written as, So,

Q: How a function can play role in domain & range?

A: We will describe a function can play role in domain &amp; range.

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A: As per our guidelines, we can answer only three sub-parts in a single request. Kindly re-post the…

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A: Consider the conditions for even and odd functions. If f(-x) =f(x) then, f(x) is even function.If…

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A: 81) It is known that the graph of the function is increasing on I if for f'x≥0 for all x∈I The graph…

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A: Consider the given function y=x2+1x2-4 Domain: -∞, -2∪-2,  2∪2,  ∞ X-intercept: Set y=0…

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A: To Determine:-  The information on how do you model a situation in which a function behaves…

Q: Evaluating a Function In Exercises 5–12,evaluate the function at the given value(s) of…

A:

Q: Average Rate of Change of a FunctionIn Exercises 61–64, find the average rate ofchange of the…

A: NOTE-AS WE ARE ALLOWED TO ANSWER THREE SUBPARTS FOR ANY QUESTION IN ONE SESSION SO, I HAVE ANSWERED…

Q: Mixed Exercises For e Exercises 77-O 88, determine if the statement is true or false. If a statement…

A: Authoring guidelines: As per the authoring guidelines we can solve only the first question.Please…

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A: Given that, x2+y2=1

Q: Analyze and sketch the graph of the function. f(x) = xe−x

A:

Q: Ron Larson - Calculus 11th EditionSection 3.6 - A summary of Curve SketchingPlease show all work and…

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Q: Using the graphing utility, graph the function y = . f'(x). f'(x) = x – 16x³ + 81x² – 146x + 80

A:

Q: Using a Table to Determine an Inverse FunctionIn Exercises 33 and 34, does the function have an…

A: 33) Given, x -1 0 1 2 3 4 f(x) -2 1 2 1 -2 -6 Find the inverse function of the table value:…

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A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

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Q: e functio

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A: Given that:  s(t)=-4.9t2+v0t+s0Stone is dropped from the top.Splash seen after 5.6 seconds.

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A: we have to represent the function y in terms of x

Q: Analyzing the Graph of a Function In Exercises 1-34, analyze and sketch a graph of the function.…

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.