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.
 
Mathematics news on Phys.org
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.
 

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