Multi-Variable Function Fun!
Algebra
Level
3
What is the formula for this function?
A:
B
C:
D:
C
D
B
A
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1 solution
This function works by taking the difference of x and y ( x − y ) and putting it in front of the sum of x and y ( x + y ) . The tricky part is figuring out how many digits to move ( x − y ) over. This part can be expressed as 1 0 n where n is the number of digits in base 10 of ( x + y ) . We can use the log function to figure out the approximate number of digits in it, however, this will have an unnecessary decimal, which we can remove using the floor function. However, this value fails to include one value, so we can add 1. So now we have
Multiply this by (x-y) and add (x+y) and we have the final equation
Note: z must be positive for this to work. (And x>y, and both x and y are positive).
Just in case you are interested, this is the graph of the function from three different angles
.
