Solve e-x = e2x+6
1 answer:
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We have the next graph
And we must find:
1. Vertical asymptote(s):
We can see that there is a vertical asymptote when x = 2.
So, the vertical asymptote is
2. Horizontal asymptote(s):
We can see that there is a horizontal asymptote y = -1
So, the horizontal aymptote is
3. x-intercept(s) and y-intercept(s):
We can see the graph intercepts the x-axis when x = -6
So, the x-intercept is (-6, 0)
We can see the graph intercepts the y-axis when y = 3
So, the y-intercept is (0, 3)
4. Domain nd Range:
Domain: The domain is the set of numbers that we can take in x-axis for the function.
Since we have a vertical asymptote that is x = 2 and we don´t have any more vertical asymptote the domain will be all real numbers except the value of the asymptote. So, the domain is
Range: The range is the set of numbers that the function takes in the y-axis.
Since we have only one horizontal asymptote the range will be all reals numbers except the value of the horizontal asymptote. So, the range is
