scenario: A function where: lim x-->a f(x) = exists, f(a) = defined, but f(a) = lim x--> a f(x) A function where lim x--> a f(x) = exists, f(a) = undefined  A function where lim x--> a f(x) = DNE, f(a) = undefined

Q: 8.Consider the graph of a function f(x). & E a) lim f(x) 5. b) lim f(x) 10 -5 10 -10 c) lim f(x) d)…

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Q: How does the function behave as lim x → 3- for 7/(3(x-3)(5-x))?

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Q: [6] Use the algebraic test to determine if these functions are odd, even, or neither. [Odd: f(-x) =…

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Q: 4. Graph the function f(x)=x² +1 ²+1 analytically describing its characteristics.

A: The given function is, f(x)=1x3+1. We need to describe the characteristics of the function from it's…

Q: f(x+Ax)- f(x) Using the first principle of derivative f'(x) = %3D Ax Ax-0 Differentiate: y 4x - 6

A: Derivative of the function

Q: What is the definition of the piecewise function from the given domain and range: Domain: (-…

A: The domain and range is given as , Domain = (-∞,0]∪2,∞ Range = -∞,4 find the definition of piecewise…

Q: True or False: If y- f(x) is a one-to-one function, then f(y). (pp. 399-409)

A: Given y=f(x)   Use the property that f-1f=I (identity)

Q: Apply the intermediate value theorem  evaluate the function f(x)=x^4+8x+3 at each endpoint of the…

A: Given,         The function is fx=x4+8x+3 at each endpoint of the interval -1,0.

Q: Rightmost xvalue where f(x) =3

A: Question : Right most x value where f(x)=3

Q: Determine and explain what value(s) of a make the function f(x) given below continuous. f(x)= ax-1…

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Q: F(x) = x 1 + 3x2 - — 16х — 20 y 100 50 X - 10 -5 -50! (a) From the graph, estimate where f"(x) > 0.…

A: a) f"(x)>0 By looking at the graph we can conclude that it between the point (0 to -5). As the…

Q: Let f(x) be a function. (a) (3 points) Define what it means for f(x) to be continuous at x = a. Use…

A: (a) A function fx is continuous at x=a if and only if limx→a-fx=limx→a+fx=fa exists. Hence, a…

Q: f(x)-f(7) B) If f'(7) = 5 then find the lim x+7 Vx - V7

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Q: Looking for some advice on this problem please! By using derivative, determine the intervals of x…

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Q: 5 4 2 -a 5 -4 -3 -2 -1 1 2 3 4 5 a 7 -1 -2 -3

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Q: 4) Find fog, gof , f+g and fg where f (x) = x^2 + 1 and g(x) = x + 2, are functions from R to R

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Q: 2 Identify f(x), g(x), and h(x) such that F(x) = f(g(h(x))) for the function F(x) = Vin(x+ In(x+ +…

A: We need to find f(x), g(x) and h(x) from F(x).

Q: Determine the coercivity of the following functions and explain the reason: (a)…

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Q: 4/ on f Inflection: up on wn on - 2 nterval the function is concave down

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Q: 1. + + -1 1 2 3. a. Use the graph to explain why, for h > 0, f(a – h) – f(a) -h f(a + h) – f(a) <…

A: The formula for f’(x) for f(x) = 2x is given asddxax=axlnaif a=2 then:ddx2x=2xln2f'x=2xln2

Q: Sketch the graph of f if a = 2. (a) f(r) = a² (b) f(x) = -a (c) f(x) = 3a* (d) fx) = a**3 (e) f(x) =…

A: Hey, Thanks for the question. Since you have posted multiple subparts, as per our guidelines we will…