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anonymous

  • one year ago

Which of the following functions is continuous at x = 3?

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  1. anonymous
    • one year ago
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    A. B. C. D

  2. anonymous
    • one year ago
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    D.all are continuos at x = 3

  3. Michele_Laino
    • one year ago
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    hint: the subsequent function: \[\Large f\left( x \right) = \frac{{{x^2} - 9}}{{x + 3}}\] is continuous at the subsequent set: \[\Large \left\{ {x \in {\mathbf{R}},\quad x \ne - 3} \right\}\]

  4. Haseeb96
    • one year ago
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    A is correct answer

  5. anonymous
    • one year ago
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    isint c right too though?

  6. Haseeb96
    • one year ago
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    no

  7. UsukiDoll
    • one year ago
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    Ah. I thought I misunderstood this. nevermind XD But yeah don't pick functions that are fractions because it causes restrictions and discontinuity.

  8. UsukiDoll
    • one year ago
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    I'll demonstrate why A is correct... |dw:1438416902248:dw| use difference of square formula for the numerator

  9. UsukiDoll
    • one year ago
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    |dw:1438416939205:dw| cancel out the x +3. Your new function is f(x) = x-3 and it's not a fraction, so all reals.

  10. UsukiDoll
    • one year ago
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    B and C are knocked out... for 2 reasons 1. piecewise function 2. jump discontinuity or point discontinuity is present in the graph. discontinuity occurs when there is asymptotic discontinuity there are gaps also known as jump discontinuity, or a hole is present (point discontinuity) .

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