Show that f is continuous on (-infinity, +infinity) f(x)= { 1- x2 , if x less than or equal to 1         { ln(x), for x > 1

Q: Let x + 5 f(x) f-'( – 2) = Preview

A: We will find f^-1(x) first. Plug f(x)=y Then switch x and y Then solve for y. Put y=f^-1(x)

Q: Let f(x) = { *, if x= 2 ; for the eax if x + 2 function to be continuous at x = 2 the value of a is

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Q: Let z +1 f(x) x + 10 f'(- 7) =

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Q: let                    x^2+1   if x is less than 1 f(x)=                   x+1        if x is…

A: Consider the given function fx=x2+1  if x<1x+1   if x≥1. The point is x = 1. Obtain the left hand…

Q: Let f be a differentiable function such that 2 < f'(x) < 4 for all values of x. Show that 10 < f(12)…

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Q: Write the functions in a list so that whenever f(x) comes before g(x), ƒ = o(g) or f = 0(g).…

A: The given functions are  ex, xx, lnxx, ex2, 2x, x2, ln2x. We know that f=og iff limx→∞fxgx=0 and…

Q: Construct the table of signs for f'(x) and f"(x) ginve f(x)= x4ex on its domain of (-inf, +inf)

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Q: Prove that the following function is continuous on the interval [-5,5]: H(x)= the square root of…

A: Given, H(x)=25-x2we have to prove that the given function is continous on the interval[-5,5]…

Q: fully continuous for all x E R by use of the product rule differentiate the function f{x} = x3e-4x

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Q: How many continuous functions f are there which satisfy (f(x))² = x² for all x?

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Q: Use secant method to estimate a root for function f(x)= x3 + 2.7x+ 2.6 = 0, starting for interval…

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Q: Let f(x)=xe^x. Use calculus to determine on what intervals is f(x) decreasing

A: Given  f(x)=xex

Q: Differentiate f(x) = 4log 3(x)- In (x)

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