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nalin [4]
3 years ago
10

Which graph is the function. f(x)=x^3-3x^2-4x

Mathematics
2 answers:
Sedaia [141]3 years ago
6 0

Answer:

See below description.

Step-by-step explanation:

The function f(x) = x^3-3x^2-4x has the following characteristics:

  • Factors: x(x+1)(x-4)
  • Zeros/roots: x=0, x=-1, amd x=4
  • Positive leading coefficient
  • Graph starts down and curves up through -1 on the x-axis and back down to cross through 0. It curves back up again through 4 and finished off heading into positive infinity.
  • Its graph is the shape of a sideways S.
  • It has a relative maximum at 1.128 and relative minimum value of -13.128

zmey [24]3 years ago
6 0

Answer: A

Step-by-step explanation:

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MArishka [77]

Answer:

C. The given function is continuous at x=4 because the limit is 2.

Step-by-step explanation:

Given the function:

f(x)=\left\{\begin{array}{ccc}\frac{1}{4}x+1 &x\leq 4\\4x-11&x>4\end{array}\right

We are to determine if the function is continuous at x=4.

For a function to be continuous  at some value c in its domain:

  • f(c) must be defined.
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Now: at x=4

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Since the two values are the same, we say that f(x) is continuous at x=4.

The correct option is C.

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\sf\huge{Answer :-}

\implies\sf{ {2}^{4x} = 78 }  \\ \implies\sf{ ({2}^{4})^{x}  = 78 } \\  \implies\sf{ {16}^{x} = 78 } \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \implies\sf{ x =  log_{16}(78)  } \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \implies\sf{x = 1.5713505547\: } \\\implies\sf{x = 1.57}

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