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Mathematics 52 Online
OpenStudy (anonymous):

Pleasee Someone Help!! Answer the following questions for the function Y=2e^x +4 . Graph the function by hand, and check your result with your calculator a) Find the domain and range of the function. b) Name two coordinates on the graph of the function. c) How does the graph behave as x increases? d) Write the equation of the horizontal asymptote in the graph of the function. Can some one Help me with this? Walk me through it or something i dont understand this at all! Thanks :)

OpenStudy (anonymous):

My graphing calculator's batteries died, so you will have to check this on your own. But if I were trapped on a desert island and needed to answer this by hand, the first thing I would do is create a table of x and y values. For example, if we used a pretty common set for x, x={-2,-1,0,1,2} and plugged all of those values into the equation, we would have five different points we could then plot (which would answer part b). We would also likely have enough points to see how the graph behaves as the value of x increased. So, after plotting those 5 points we noticed a trend, like that the y value of 2 was greater than the y value of 1, I would probably go ahead and say that the graph rises to the right as the value of x increases. We could also find the horizontal asymptote by plotting lower and lower values of x (say, -3, -4, -5, etc....) and we would likely see that the graph approaches something but doesn't cross it (it just gets REALLY close and flatter), and that would be the value I would write for part d (i.e. H.A.: y= something). For part a, I would also resort the the graph you should have plotted by now, and we would see the domain (which I suspect is - infinity to + infinity), but the range would depend on whatever you came up with for your horizontal asymptote. I suspect it will be at LEAST greater or equal to y = 4, probably going up to + infinity, but I would have to do the work to see for sure. Hope I didn't ramble too much and this was a little bit helpful.

OpenStudy (anonymous):

Dude, Thank you So much! You Helped Alot!!! Thanks again!

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