Answer:
10a. f(x) is part of the "exponential function family." The little x in superscript is called an exponent.
b. See the attached graph! If you're confused on how this can be graphed, just make an x-y table and graph it point by point. The domain (all possible x-values) is (∞,-∞). The range is (0,∞), because you can never get an output that's a negative number. Try it on your calculator! It won't work.
c. It looks very similar, just wider or skinnier. This is how we make the function dilate. See the attachment!
d. The inverse of f(x) is y = logx. Plot it on a graph: it's the same graph, flipped over y=x. That's how we know it's the inverse.
e. j(t) is much wider than k(t). It looks like a wider version of g(x). This is our conjecture. It makes sense because multiplying by .18 makes the exponent value smaller every time, so it would be increasing less than f(x).