1) Determine the value of c such that the function is continuous Vx E R. Show and explain in complete sentences why your value of c makes this function continuous. (x-5, f (x) =- |cx – 4, x>2 x< 2

Q: Example 20 Let functions f and g be defined by f(x) = 2x +1 and g(x) = x2 – 2 respectively. Find %3D…

A: f(x)=2x+1 and g(x)=x2-2

Q: f(x) = x + 1 √x

A: Given data

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: Let f be the function given by f(x) = Jax + b for x 2 where a and b are constants

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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: Assume that the function f is continuous and strictly increasing on the interval [15, 26] with f(15)…

A: Given that:               f is continuous and strictly increasing on the interval  [15,26] with…

Q: Explain if the function is continuous or not for the given number a. if x > 1 f(x) = {1 if x = 1…

A: topic - limits and continuity

Q: Let f + 1 be a non-zero function. We can find differentiable function f with f = f. False True

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Q: x + 4 6. Let f(x) find the following: x - 3 a) f(2) b) f(4) c) domain of f

A: Use the value of x for finding the function.

Q: function

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Q: Find all values for which h(x) = (x + 2)(x − 3) (x + 2)(x − 1) fails to be continuous. Explain your…

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Q: nmer 20 - Math 205, section 4201... concave f(x) = x^4 8x^2 - Step-by-S... II: Introductory Calculus…

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Q: The form of the partial fraction decomposition of a rational function is given below. -(9x² + 15x +…

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Q: mathmatics prove that f(x)=3x+1 is continuous in all points.

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Q: A/ Derive by definition: y = Vx - 3 ? B/ Determine the value of (z) and (k) that makes the function…

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Q: Examine whether or not the function (4-x² f (x) =- [4+x if x0 Is continuous at x = 0

A: Check whether limx→0f(x) = limx→0(4-x2) and limx→0(4+x), if both sides are equal then it is…

Q: Find the values of a and b that make f continuous everywhere. x²_ X-2 ax² - 6x + 3 2x = a + b a ||…

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Q: |The graph of f(x) is given by -14) (1, 4) Determine is f is continuous at x = c. (a) r= -4 (c) x=1…

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