25. f(x): Determine the value of k so that f(x) is continuous. Show work. 2x² - k x < 2 = 2x² - 5x - 12 2x + 3 x ≥ 2

Q: Let f(x) = 5x² to f(6 + h). ƒ(6 + h) − ƒ(6) = 6x + 6. If f(6) = 150 and h = 5, determine the amount…

A: Given function:- fx=5x2-6x+6

Q: f(x) The quotient, denoted by 2, is the function denoted by 2(2) = g(x) excluding the values of x…

A: Given that the quotient, denoted by fg, is the function defined by fg(x)=f(x)g(x) , excluding the…

Q: f(x)%3DX²-2x+5

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Q: (a) Find the critical values and the corresponding function values. (b) State the intervals on which…

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Q: Show that the function f(x)= √6x-x² is continuous on the closed interval [0, 6].

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Q: Differentiate the function. f(x) = x6174 + 2x50 – 13x* + 4x – x-6 + n²

A: Derivative of function

Q: Let f be the function 6x-1 for x {/ Find the values of a and b that make the function continuous.…

A: we need to find values of a and b which make the given  function continuous.

Q: 1olvsrled bne 7. Find the difference quotient f(x+h}-f(x) for the function f(x) = x2 - 1. h

A: For the solution follow the next step.

Q: find a so that the domain of the function f(x) = -5x +sqrt{a-x^2} is (-3,3) a. 3 b. 9 c. -9 d.…

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Q: 7x – 1 Determine in which interval(s) the function h(x) is continuous. Justify %3D x2 +1 your…

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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: Find the smallest value of the function f(x) = x³-3x² - 9x + 5 on the domain −4 ≤ x ≤ 4.

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Q: e3-6-2, if x 3 = 3. 1. Determine if f is continuous or discontinuous at x = 2 and x =

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Q: List the zero's of f(x) = x³ + 3x² - 4x. X =

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Q: Consider the function f(x)=2x* – 4x² +4. Isƒincreasing or decreasing at the point x - 0.5?

A: Since you have asked multiple questions in a single request, we would be answering only first…