00:01
This problem says the values of two functions f and g are given in a table.
00:04
One, both, or neither of them may be exponential.
00:06
Give the exponential models for those that are, and if the answer doesn't exist, say d and e.
00:11
So, first we'll look at g of x, because what we see for g of x can be kind of mirrored out or visualized if we looked at what roughly the graph would look like.
00:20
And we can see why we won't have an exponential model here, because when we have the x value of negative 2 mapping to positive 8, which would be roughly here, and then also positive 2 mapping to 8 here, with three values in the middle that fall in between those of negative 1 being 0, positive 1 being 0, and then 0 being maps to negative 1.
00:42
This would give us something that is probably of quadratic shape, maybe even something with an even degree, but this shows both ends going up, and that's not going to match an exponential model...