This is an example of a piecewise defined function. It means that the function has not a unique formula to represent it, but it depends on "where" you want to compute it.

So, if you choose any input $x$ , you have two alternative:

If $x \neq 3$ (i.e., if you've chosen any input that is not 3), the output will be the opposite of the input you've chosen ( $y=-x$ )
If $x=3$ , the ouput will be -1.

So, let's forget about $x=3$ for a moment. For any input $x$ you choose, the answer is $-x$ . The graph of this function is the bisector of the second and fourth quadrant.

Now remember that there is our special case: you have to "carve a hole" in our line, at $x=3$ , and assing to this point the value -1, instead of what we would expect, i.e. -3.

So, the graph of this function is the line $y=-x$ , except for one point ( $x=3$ ), where we reassign the value to be -1.

5 0

4 years ago

The digit which has a value of tenth in 35.427 is

inna [77]

Answer:

Step-by-step explanation:

35.427 the tens place is after 35. and four is there, so 4 is in the tenths place

8 0

3 years ago

Heather received a 32% discount on a $34 shirt. After the 7% sales tax was added, how much did she pay for the shirt.

Marat540 [252]

Answer:

$15.17

Step-by-step explanation:

divide 34 by 32 = 1.0625. and divide it by the 7%= $15.17

5 0

4 years ago

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