MHB Finding maximum/minimum values?

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The function y = 28(1.21)^x is an exponential function that is monotonically increasing due to its base being greater than 1. Therefore, the minimum value occurs at the left endpoint of the interval, which is 28 when x = 0. The maximum value is found at the right endpoint, x = 12, where y reaches its highest point. To find the maximum value, one can evaluate the function at x = 12. In conclusion, the minimum is 28 and the maximum can be calculated by substituting x = 12 into the function.
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What are the maximum/minimum values for y = 28(1.21)^x on the interval 0 $\le$ x $\le$ 12?

I think that the minimum value might be 28 because y = 28 when x = 0 but I don't know how to find the maximum value. Could someone help/explain? Thanks.
 
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An exponential function, whose base $b$ is greater than 1, of the form:

$$y=kb^x$$ where $0<k$ will be monotonically increasing on any interval within the domain, which is all reals. Thus, the function will have it's minimum at the left-endpoint and its maximum at the right end-point.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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