Find the constant a such that the function is continuous on the entire real line 3x², lax - 5, f(x) ах Need Help? Talk to a Tutor Read It

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A: To get continuity interval we focus on such points where the function can be discontinuous. And we…

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Q: 1/3 At what points is the function y = (3x - 7)' continuous? ... Describe the set of x-values where…

A: The solution are next step

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A: To prove: The function fx=x3 is increasing function in the interval -∞,∞, Concept used: If the…

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A: We will solve the problem

Q: 2 QUESTION Suppose that the function fis defined, for all real numbers, as follows. x-4 if x2 Graph…

A: First we need to draw the graph of function:

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A: Rolle’s Theorem: If a real valued function f(x) (i) is continuous on [a, b] (ii) is differentiable…

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A: We will first find the  derivative

Q: Consider f(x) = 3x10 + x5 + 9 a. Explain what the leading term test tells you about the end…

A: (a) the leading term is, 3x10  and the leading coefficient is, 3 which is positive. Also, since the…

Q: X+4 At what points is the function y = continuous? x2 - 10x + 24 Describe the set of x-values where…

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Q: Determine where the function F(x)= 4x 2 x +49 is continuous. The function is continuous on (Simplify…

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Q: Sketches from properties Sketch a function that is continuous on 1- , 2 and has the following…

A: See the attachment

Q: Determine where the following function is continuous. X-1 M(x) = 4x - 81 The function is continuous…

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Q: Generalized Product Rule aeke t mwhre tnios f(x)g(x)h(x)] = (b) What would the product rule for four…

A: To find a formula for the derivative of the product of three or more functions

Q: Functions Point f(x) = Vx - 4 (8, 2) f-1(x) = x2 + 4, x20 (2, 8) (a) Find the domains of fand f1.…

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Q: FLOS Provide a recursive definition for the function f(n) = a", where a > 0 is a real constant.…

A: A recursion process is one in which one or more initial stages of the process are specified, and the…

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Q: Determine where the following function is continuous. X-4 M(x): 4x²-81 The function is continuous on…

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Q: a explain the mathemahcal definition of contnuih at X-3. Use Sentences or math expressions in your…

A: Consider a function f(x) at x=3.

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A: Consider the function: fx=x2-3,                                      x≤03-x2,…

Q: Determine where the function f(x) = 4x – 7 is continuous. The function is continuous on (Simplify…

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Q: 2. f(x) = 4x5 + 3x² - 7

A: To discuss the continuity of the given function. To give the intervals in which he function is…

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Q: Describe the x-values at which f is differentiable. (Enter your answer using interval notation.)…

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Q: Determine whether f is continuous at c. Use algebraic substitution, graphing, and or tables to…

A: As per the instruction, we will be answering only the first question. Given: Notice that…

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A: Given:

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A: The given function is

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Q: (1 point) Find a and b so that the function 6x - 8x? + 5, a -2 is both continuous and…

A: This question we have to make function continuous and differentiable

Q: Find the domain of the function. (Enter your answer using interval notation.) h(x) = In(x) + In(8 -…

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Q: f(x) = (2x - 3, if x = 2 # 3, if x = 2 12x 3,1

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Q: Let f(x) = –2x² + 3x – 5 and g(x) = 6x + 1. Determine the value of (f – g)(-5). - Type your response…

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Q: Range What is the range of the function 9(x) = x² - 3? Use interval notation. 10 Submit

A: To find the range of a function g(x),we express x as x=f(y) and then find the domain of f.

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A: We have given  Side of square base box = x inch  And sum of total 12 sides is = 144  We have to find…

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Q: Find a formula for the described function. A rectangle has area 49 m2. Express the perimeter of the…

A: Area=l x b=49∴lb=49    b=49lP=2l+b

Q: f(x)={(4-2x, x2)} Describe the interval(s) on which the function is continuous. (Interval Notation)…

A: Given Data The function is f(x)={(4-2x),x<=2),                                      {x²-3,…

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A: You need to find the critical points for the given function. Then find its extrema and after that…

Q: Find all numbers c that satisfy the conclusion of Rolle's Theorem for the following function and…

A: Solve by rolle's theorem

Q: Determine whether the function is continuous on the entire real number line. Explain your reasoning.…

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Q: Find the open interval on which the function is increasing and decreasing Identify the function’s…

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