F(x)= -2(2)^(x+2)-1
For this problem, the first step that we would do is identify a-k and then the asymptote becomes easy (y=k). Then, finding the x and y intercepts would come and we would do so by plugging y as zero when solving for the x intercept and then plugging in zero for x to find the y intercept. The domain and range you can either do before or after graphing the equation. Plug in any key points, just make sure that the third one is your value of h to make it easy. Plot the points and then you are basically done.
What does the viewer need to pay special attention to in order to understand?
While solving the problem the viewer should pay special attention to the original equation and whether a indicates it as below or above the asymptote. This will come in handy for the graphing as well. Now, if and when you get a negative natural log then you have to realize and remember that it means it will be undefined. Remember that the domain is always all real numbers and then since in this case for the range it is below that means that you will start from negative infinity up to the asymptote.
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