To make f continuous at x=2 , f(2) should be defined as what value? Justify your answer.

To make continues at    should be defined at

Given-

Let be a real function subset of the real numbers and let be a point in the  domain of function . Then is continuous at if,

when the limit of left hand, limit of right hand and the value of function at exist and are equal to each other, then function is said to be continues at . Its expression can be given as,

Now for the given function , to make continues at

thus function    should be defined at .

Hence, To make continues at    should be defined at

For more about the continues function, follow the link below-

link

To make f continuous at , should be defined

Step-by-step explanation:

A function, let say , is defined at is continuous at

If the limit of as approaches is equal to the value of at  .

Mathematically it is written as:

if

then

is continuous at  .

So from the above definition, we conclude that:

To make f continuous at , should be defined

i.e.

if

then

is continuous at  .

this shows a reflection over the x-axis and is translated one unit down and 6 units to the right (x + 6, y - 1)

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