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anonymous
 one year ago
Which of the following functions is continuous at x = 3?
anonymous
 one year ago
Which of the following functions is continuous at x = 3?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0D.all are continuos at x = 3

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2hint: the subsequent function: \[\Large f\left( x \right) = \frac{{{x^2}  9}}{{x + 3}}\] is continuous at the subsequent set: \[\Large \left\{ {x \in {\mathbf{R}},\quad x \ne  3} \right\}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0isint c right too though?

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0Ah. I thought I misunderstood this. nevermind XD But yeah don't pick functions that are fractions because it causes restrictions and discontinuity.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0I'll demonstrate why A is correct... dw:1438416902248:dw use difference of square formula for the numerator

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0dw:1438416939205:dw cancel out the x +3. Your new function is f(x) = x3 and it's not a fraction, so all reals.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0B 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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