SOLUTION: 4. Use transformations to graph the following function and submit the graph. Also state (a) the domain, (b) the range, (c) the horizontal asymptote. f(x)= e^-x please help!

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: 4. Use transformations to graph the following function and submit the graph. Also state (a) the domain, (b) the range, (c) the horizontal asymptote. f(x)= e^-x please help!      Log On


   

Question 469344: 4. Use transformations to graph the following function and submit the graph. Also state (a) the domain, (b) the range, (c) the horizontal asymptote.
f(x)= e^-x
please help!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Use transformations to graph the following function and submit the graph. Also state (a) the domain, (b) the range, (c) the horizontal asymptote.
f(x)= e^-x
----
y = e^x is a growth function with horizontal asymptote y = 0
and y-intercept (0,1)
Graph of y = e^x
graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Ce%5Ex%29
----
y = e^(-x) reflects y = e^x in the y-axis. The HA and
the y-intercept remain the same.
Graph of y = e^-x
graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Ce%5E%28-x%29%29%29
--------------------------
Domain : All Real Numbers
Range: y > 0
HA: y = 0
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Cheers,
Stan H.
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