How can looking at the graph of a function help you tell where the function is continuous?

Q: Does the graph represent a function? of True False

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Q: Give an example of real-life application of function.

A: Function defination: Generally  a function has a dependent variable and a independent  variable. By…

Q: Explain how the vertical line test is used to determine whether a graph represents a function ?

A: For function we know that it is should be one-one or on to for one-one at one value of x .It is…

Q: Differentiate between Increasing and Decreasing Functions?

A: If the value of the function, f(x) increases as the value of the x increases on an interval, then…

Q: How do you differentiate the limit of a function from a function value? How do you relate this…

A: The value of a function is the actual calculation done at a certain point. The limit is - roughly…

Q: What is the common way to obtain a new function from an existing one?

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Q: List the  Properties of Continuous Functions?

A: given,       List the  Properties of Continuous Functions

Q: Describe the error in graphing f(x) for the function, then graph it correctly. (rough graph only)!…

A: Given: f x = x x-23  To Find: Suitable option out of given options

Q: Give an example of continuous function?

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Q: The graph below is of a function f(æ) with domain (-∞, 0). It consists of three lines.

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Q: How to determine whether the point lies on the graph of the function.

A: The method to decide whether the given locus passes through the given point

Q: What is an even function? How can you tell that a function is even by looking at its graph? Give an…

A: Even function:  A function is even when the condition for all value of x. if the graph sees, the…

Q: What is the graph of a real-valued function of a real variable?

A: What is the graph of a real-valued function of a real variable.

Q: Explain Limits of Function Values?

A: The limit of a function at a point 'a' in its domain (if it exists) is the value that the function…

Q: Identify the function whose graph appears above. f(x) 3D %3D

A: The given graph appears to be tangent function.

Q: The graph of a function is shown below. On which interval is the function increasing and non-linear?

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Q: How do you test a twice-differentiable function to determine where its graph is concave up or…

A: According to the Second Derivative Test for Concavity, Consider y=fx be a twice-differentiable…

Q: How does  a function behave near a particular point at which we cannotdirectly evaluate the…

A: To understand the concept we will consider an example

Q: Suppose that you are holding your toy submarine under the water. You release it and it begins to…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Investigate the behavior of the function as n or x grows large by making a table of function values…

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Q: ry to draw a vertical line on the graph so it intersects the graph in more than one place. If you…

A: Lets draw vertical lines on the given graph  The vertical lines intersects the circle at two points

Q: Define Increasing and decreasing function?

A: According to the question, we have to define the increasing and decresing function. To check the…

Q: Write the Properties of Continuous Functions?

A: Given functions is continuous function.

Q: Explain how the vertical line test is used to detect functions.

A: Vertical line test: Draw a vertical line on the graph of the given equation. If the line passes…

Q: This describe the value of a function as approaches to some value?

A: Since we know that limit of a function f(x) as x approach c, f(x) approaches x as approaches c.

Q: What is the range of this function?

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Q: How can you tell from the graph of a function whetherit is one-to-one?

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: What is the domain of the function shown in the graph below?

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Q: Explain the meaning of a function using a method of your choice.

A: We will find out the required solution.

Q: I realized that continuity of function is _______________________________________ I can apply what…

A: A function is continuous at a point if the three following conditions are met: 1) f (a) is defined.…

Q: Can the graph of a function be symmetric about the x-axis? If the answer is "Yes", give an example…

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Q: Explain in many ways of why an absolute value Function an piecewise Function.

A: Given:   Explain in many ways of why an absolute value Function an piecewise Function.

Q: How would I find a function that models this?

A: From the given table , it is observed that the given table can represents a linear function.

Q: How to distinguish an Even function from an Odd function and the relationship between them.

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Q: What are the even Functions and Odd Functions?

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Q: Match the graph with the correct function family.

A: there are many types of functions like absolute function , quadratic function , cubic function,…

Q: How can you sometimes identify a function ƒ(x) by knowing ƒ'and knowing the value of ƒ at a point x…

A: To identify the function fx when f' and value of function fx at a point is known.

Q: How can we represent a function ?

A: Function is the relation in which each element of the domain is related with exactly one element in…

Q: f(x) X+T

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Q: The function f is linear. Can f be an odd function? Explain how you know

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Q: What is an even function?

A: we have to tell what is an even function.

Q: What are the steps of the procedure to find absolute extrema of a function?

A: Step 1: Find f'(x). [first derivative] Step 2: Find the critical points by solving f'(x)=0  Step 3:…

Q: How to find the derivite of a function?

A: To explain how to find derivative of function:

Q: Explain thoroughly and illustrate what it means for a function to be differentiable at a number a

A: First we will give the definition of a differentiable function then we will illustrate it with an…

Q: How can a function be described in pieces?

A: A function can be described in pieces with different formula in different intervals of its domain.

Q: how do I graph this function

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Q: What is the relation between the differentiability andcontinuity of a function?

A: All differentiable functions are continuous, but not all continuous functions are differentiable.

Q: Explain in your own words what a function is. How is a function different from a relation?

A: A function is a relation between two sets that associates to each element of the first set exactly…

Q: What is the graph of a real-valued function of a real variable? What is the vertical line test?

A: The graph of a real-valued function is a line, straight or curve which shows the variation of one…

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.