SOLUTION: How do I find the x intercepts, y intercepts , domain, and range of y=ln(x) . I would really want to know how you got the answers if you wouldn't mind explaining (:

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: How do I find the x intercepts, y intercepts , domain, and range of y=ln(x) . I would really want to know how you got the answers if you wouldn't mind explaining (:       Log On


   

Question 1090243: How do I find the x intercepts, y intercepts , domain, and range of y=ln(x) . I would really want to know how you got the answers if you wouldn't mind explaining (:
Found 2 solutions by ikleyn, dennisrizelleruiz:
Answer by ikleyn(52777) About Me  (Show Source):
You can put this solution on YOUR website!
.
1.  x-intercept is the point where y = ln(x) = 0.

    It is the point where the plot y = ln(x) intersect x-axis.

    From  ln(x) = 0   you have  x = 1.

    Hence, the point x = 1 is x-intercept.



2.  There is NO y-intercept

    y-intercept is the point on the plot at x = 0.

    But x = 0 does not belong to the domain of the ln function.



3.  The domain of the the function y = ln(x) is the set of all positive real numbers.

    You can take and calculate ln(x) for any positive real number x.

    You can not take logarithm of 0 (zero) or negative number.



4.  The range of the function y = ln(x) is the set of all real numbers.

    To get it, simply look into the plot of this function (below).



graph%28+330%2C+330%2C+-3.5%2C+5.5%2C+-5.5%2C+5.5%2C%0D%0A++++++++++ln%28x%29%0D%0A%29

          Plot y = ln(x)


Answer by dennisrizelleruiz(5) About Me  (Show Source):
You can put this solution on YOUR website!
The logarithm were the inverse function of the y=e^x.


The x- intercept would be always be (1,0). The y intercept would be nothing because the function dont touch the y- axis. The domain would be (0,∞) because the function don't touch the y axis and it starts from a number closest to zero and it goes on nd on. The domain was always the interval of x, while the range was the interval of y of a function. The range would be ALL REAL NUMBER. Why??? Because The graph goes on and on in terms of y.