x²-x 2. Given G (x) Зx2+3х-6 a. Find the limit as x approaches +1, b. Determine if the function is discontinuous at any value of x? If yes, state the type of discontinuity.

Q: if x < - 4 - Let f(x) = x² + 3x 8 if x ≥ - 4 - If f(x) is a function which is continuous everywhere,…

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Q: LET f(z) –1* and g(x) –1-2. DETERMINE oquations for both (fog(r) and (gof)(z).

A: Given:-              f(x) = x2               g(x) = x - 2

Q: Find the domain and range of this relation { (x, y) RxR: V+3}?

A: Given query is to find the domain and range ofbthe relation.

Q: Analyze the function f (x) -x + 18 if x 10

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Q: 5. Use the fplot command to plot the funetion f(x) = e2sin(048)5cos(4x)in the domain -205 x 30.

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Q: x, if -1くx<

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Q: Suppose that f is a function given as f(x) = -3x² - 2x - 3. Simplify the expression f(x + h). f(x +…

A: f(x)=-3x2-2x-3(i) f(x+h)=-3(x+h)2-2(x+h)-3

Q: Determine the values of x for which f(x) is continuous. Write the answer in interval notation. if x…

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Q: Find the endings for the following functions zX-5 3 @ lim - V-X-2 X -3 X +3 a lim 2- x* 1.

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Q: Identify a use of the lower and upper limits.

A: The lower and upper limits of the data set will not be plotted in the box plot.

Q: Graph the function. 6) f(x) = fx-1, for x>0 1-x², for x ≤0 9

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Q: If (2,5) is a point on the graph of function f(x), which of the following must be tru? Explain A.…

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Q: 2. f (x) 3 - 2x² if xくQ こ 2 メ if x 2 2

A: f(x)= x3-2x2 ; x&lt;22-x ; x≥2       a=2 , if f is differentiable , then f'(2) should be finiteusing…

Q: 5. Find the value of the function: If f(x) = 3x + 2x 3, find(-3). f(-3) =

A: We have to find the value of the given function at x = -3.

Q: The wood beam has a rectangular cross section in the proportion shown. The allowable bending stress…

A: Note: According to Bartleby we have to solve the first question only please upload the question…

Q: a) A conditional statement and its converse are logically equivalent. b) A conditional statement and…

A: Part(a): The statement is TRUE because from the attached picture we can see that the truth values of…

Q: Consider the function f(x) = − 8x - 5 on the interval [-7, 7]. Find the absolute extrema for the…

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Q: Explain why the function h is discontinuous at a = -2. 1 x = -2 h(x) = x + 2 1 x = -2

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

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.