The piecwise function g(x) is defined by x + 2 when x < 0, 2x2 when 0 is less than or equal to x and 1 is greater than x, and 3-x when x > 1. What type of discontinuites are present in the function? Where are these discontinuities?

Q: Let X={1, 2, …, 16} and define function f(x)=rx for all x€X where rx is the remainder when 3x is…

A:

Q: - Find and classify the discontinuities of the function f(x) x2 - 1

A:

Q: The graph of a function fis formed by vertically stretching the graph of y = √x by a factor of 2,…

A: WSe have to apply the given transformation on the graph

Q: Determine the values of x for which f(x) is discontinuous.

A: For x&lt;=3, f(x)=3x-12 is continuous

Q: Which one of these statements in relation to the function f(x)= x+3/x is false?

A: Explanation of the answer is as follows

Q: 6. Determine all values of x at which the function is discontinuous. x2- 2x +5 f(x) = x2-4x 0, 4 O…

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Q: 2. Let a, b be real numbers for which b > a. Let functions f,9,h be defined on a domain [a, b] in…

A: Solution is here

Q: 2. Evaluate the piecewise defined function at the indicated values. x2 + 4x if x s -3 Ax) = {x if -3…

A:

Q: Give one way to restrict the domain of the function f (x) = X4-2to make the resulting function…

A: Given function is: fx=x4-2fx=x2

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A: given: we have a function f(x) such that f(-1)=-9 and f(3)=9. the given statement is: ''f(x)=0 for…

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Q: f(x) = x+1 x-3

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Q: Sketch the graph of the function f to determine the type of discontinuity at each x-value. x2 +2, if…

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Q: Let the function f:[0,1]->R be defined by 4x f(x) 4x + 2 Then, what is the value of 39 f ƒ ( ²1 ) +…

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Q: 5. Find the domain of the function: y = In () x-4

A: y=lnx-1x-4

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.