00:01
For this problem, we are asked to describe the domain and range of the function f of x, y, z equals x times z plus e to the power of y.
00:09
Now, starting with the domain, we need to think about, okay, are there any values for x, y, or z that would break this function? well, we have multiplication, which can't be broken, and we have exponentiation, which also can't be broken.
00:22
So we can clearly see then that the domain is actually going to be the entirety of r3.
00:28
In terms of the range, well, we know that we can get negative values by having, say, negative x times a positive z...