SOLUTION: g(x)=e^x+3 Description of transformation: Equation(s) from Horizontal Asymptote(s): y-intercept in (x,y) form: I am not sure what this is asking me to do? Help

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Question 147790: g(x)=e^x+3
Description of transformation: Equation(s) from Horizontal Asymptote(s): y-intercept in (x,y) form:
I am not sure what this is asking me to do? Help

Answer by Fombitz(13823) About Me  (Show Source):
You can put this solution on YOUR website!
Here's a graph of your equation.
+graph%28+300%2C+300%2C+-5%2C+5%2C+-10%2C+10%2C+2.718%5Ex%2B3%29+
Let me see if I can decipher what you need.
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Horizontal asymptote.
From the equation,
g%28x%29=e%5Ex%2B3
as x becomes large (negative), the exponent term quickly goes to 0,
g%28x%29=0%2B3
g%28x%29=3 as x approaches -infinity
As x goes to negative infinity, the horizontal asymptote is y=3.
+drawing%28300%2C300%2C-5%2C5%2C-10%2C10%2Cblue%28line%28-10%2C3%2C10%2C3%29%29%2Cgraph%28+300%2C+300%2C+-5%2C+5%2C+-10%2C+10%2C+2.718%5Ex%2B3%29%29+
It's shown here as the blue line.
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The y intercept in (x,y) form is the point that the graph crosses the y axis.
In that case
x=0 and
g%28x%29=e%5E0%2B3
g%28x%29=1%2B3
g%28x%29=4
In (x,y) format that would be (0,4).
+drawing%28300%2C300%2C-5%2C5%2C-10%2C10%2Cblue%28line%28-10%2C3%2C10%2C3%29%29%2Cgreen%28circle%280%2C4%2C.1%29%29%2Cgreen%28circle%280%2C4%2C.15%29%29%2Cgreen%28circle%280%2C4%2C.2%29%29%2Cgraph%28+300%2C+300%2C+-5%2C+5%2C+-10%2C+10%2C+2.718%5Ex%2B3%29%29+
The y-intercept is shown as the green circle.