Which is the graph for y=(x)-2?
1 answer:
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For 
to be continuous at 
, you need to have the limit from either side as 
to be the same.
If
and 
, then the limit from the right would be 
, so the answer to part (1) is no, the function would not be continuous under those conditions.
This basically answers part (2). For the function to be continuous, you need to satisfy the relation
.
Part (c) is done similarly to part (1). This time, you need to limits from either side as
to match. You have
So,
and 
have to satisfy the relation 
, or 
.
Part (4) is done by solving the system of equations above for and . I'll leave that to you, as well as part (5) since that's just drawing your findings.
If
This basically answers part (2). For the function to be continuous, you need to satisfy the relation
Part (c) is done similarly to part (1). This time, you need to limits from either side as
So,
Part (4) is done by solving the system of equations above for
Multiplication and division with the powers of ten
So, when multiply powers of ten, all you have to do add up the powers.
The reverse goes when you are dividing. You would subtract the powers.
9 x 10^7 => 3 x 10^3
The words " how many times as large as " indicates that we are going to divide the two, making it look like this:
Divide the 9 by 3 you get 3
Then subtract 10^3 from 10^7
Therefore, the answer is 3 x 10^4, or A