Let f(x) = 3x6 if x ≤ 5 -7x+b if x > 5 If f(x) is a function which is continuous everywhere, then we must have b=

Q: Let f(x) be a piecewise function defined by - 6x+ a if x - 3 What should be the values of a and b…

A: Continuity

Q: Show that f(x) = 2/x2 + 3x4 – 5x6 is an even function

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Q: If f(x) = V3x² – 12x + 12, express the function, f, in simplified form.

A: Given function is fx=3x2-12x+12. To express the function f in simplified form. Solution: We have…

Q: What is the end behavior and removable discontinuity of the function y= x-4/3-2x ?

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Q: Let f(x) = 2? + 3 and g(x) = 3x +5. What is f(g(-1))

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Q: Let f(x) = x + 3 if x ≥ 5, 8 if x < 5. Find f(12) - f(-12).

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Q: Find the inflection points for the function f(x) = 2x6 + 3x5 – 10x*. -

A: Note :- Inflexian points of a function can be calculate by putting f"(x) =0 and solve for x.  We get…

Q: Show that the function f (x) = -x3 + 2x2 - 6x + 3 is always decreasing.

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Q: for which value of 'a' the function 5x3 – 625, x5

A: As  we know that; If the function is continuous at x=a then;…

Q: Let /(x) = 7 - 9x - 20. Find f(-3)

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Q: Identify the number of zeroes and the max number of extrema for the following function. g(x)= 3x²…

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Q: If ƒ(a - x) = ƒ(a + x), show that g(x) = ƒ(x + a) is an even function.

A: Given that ƒ(a - x) = ƒ(a + x)To show that g(x) = ƒ(x + a) is an even function.

Q: Let f(x) = x* + 5x³ + 8x² + 3x.

A: The power derivative of y=xn  is given by, y'=dydx=ddxxn =nxn-1 Linear property of differentiation:…

Q: f(x) = x+1 x-3

A: Given:  fx=x+1x-3To prove: f(x) is 1-1 we know that, If f(x1) = f(x2) then x1 = x2 therefore f(x) is…

Q: Let f(x)= = x + 5 x+8

A: Please refer to the image below

Q: Let f(x) = 8x+13 and g(x) = x2 - 5x. Find the following. Give the domain of each using interva %3D…

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Q: Graph the function Ax) = 4x-1, if x <-1 Determine if the function is continuous x-3, if x2-1…

A: The given function is  f(x) = 4x-1x-3if x&lt;-1ifx≥-1 A function is said to be continuous at a point…

Q: Is the function h(x)=-|x-4| +3 a one -one function?

A: This is an absolute value function , so for two values of x we will find same value of y.