√√-x-6 if x < -1 Let g(x)=2x-3 if-1

Q: Identify where the function f(x) = x' – 4x + 8x + 3 is increasing, decreasing, concave up, and…

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Q: How is a function’s differentiability at a point related to its continuity there, if at all?

A: If a function is differentiable at any point there it has to be continuous. For example: y= x^2 has…

Q: What values of a and b make the function f continuous everywhere? x² 4 a = f(x) = and b = - " X 2…

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Q: O Consider the following function 2 a0

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Q: S 2* + 1, if x < 0 l Vx + 3, if x = 0 10. a) Sketch the graph of f(x) where f(x) = b) Is f(x)…

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Q: Describe the behavior of the function as x approaches zero. f(x)=(|x|/4)sinx a. f--> +infinity as…

A: limx→ 0x4sinx use direct methodlimx→ 0x4sinx=04sin0limx→ 0x4sinx=04x0         (sin0=0)limx→…

Q: Explain the differences between continuity and uniform continuity when f(x)=3x+7 shown on graph…

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Q: (x? + 3x f(x) = - 6x if xs-2 if x>-2 A) Check the continuity of the function f(x) at x = -2 %3D

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Q: Let f(x) = x³ 3x - 1.5. Determine whether the Intermediate Value Theorem can be used to show that…

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Q: Use calculus techniques and algebra to analyze and sketch the graph of 4 ƒ ( x) = x³+x+ ÷. X A)…

A: Since you have asked multiple sub parts in a single request so we will be answering only first three…

Q: 10) Use the graph of f to determine if f is continuous at x = -3. -5 -4 -3 -2 -1 A) no 2- -1+ -2+ 2…

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Q: x² 3. Types of Discontinuities: Determine all point/s that make/s the function f(x) = x²+x…

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Q: function

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Q: For the function given below, which statements concerning Rolle's theorem are true? Select all that…

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Q: G(x): x³+3x+2 x+2 [[_x_]] + 1 -12-X1 - x+3 + 1 x-r if x < -1 if -1 ≤ x 1 if xz1

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Q: Consider the function f(x)=x^2-4 / x^2-9. State the domain. State the horizontal and vertical…

A: Note: Multiple subparts are given we are answered with first three parts only.

Q: f(x) = ln(x² - 2x − 35) + √√4225 – x² Use interval notation to indicate the interval of continuity…

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Q: f (x) Let the f(x) function be given. x2 -1 a) Find the domain, the region of the continuity, the…

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Q: 6. Which of the following is the reason for a function differentiable at x=-5 if the function is…

A: Since this is a multiple question according to the Bartleby answering rule, only first question is…

Q: 5. Find the constant a for which the function f is continuous on(-00,00). Sketch f. ax if x< 2 f(x)…

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