Feb 8, 2016 · The graph of y = lnx x can only be all positive and y can take positive or negative values graph {y=ln x [-10, 10, -5,5]} Have a nice day from the Philippines!

Jan 19, 2017 · So when we change the function to y=ln (x+1), we have that y=0=ln (1)=ln (0+1) So the x-intercept shifts to the left. Just like the x-intercept shift, the entire graph shifts to the left.

Mar 24, 2015 · For any strictly increasing function, f, if a <b, then f (a) <f (b). Let M be an arbitrary positive number. Since (as others have shown), f (x) = lnx is strictly increasing on (0,∞), lnx> M if and only if x> eM. Since the numbers themselves increase without bound, we have shown that by making x large enough, we may make f (x) = lnx as large as desired. Thus, the limit is infinite …

Jan 24, 2016 · The typical graph of just ln(x) is graph{ln(x) [-10, 10, -5, 5]} Notice the domain restriction. In ln(x), x>0. That is, negative numbers are not in the domain of a logarithmic function. However, in ln(abs(x)), negative numbers are made positive. For example, both e^2 and -e^2, when plugged into ln(abs(x)), result in ln(e^2)=2. In effect, adding the absolute value makes …

May 3, 2017 · See graph and analysis below. y=ln (x^2+1) Since x^2 +1 >= 1 forall x in RR ->y is defined forall x in RR :. the domain of y is (-oo,+oo) Since (x^2+1) >= 1 forall x ...

Feb 16, 2016 · See the graph drawn below 1. ln0 is undefined. It's not a real number, because you can never get zero by raising anything to the power of anything else. Also, function lnx is negative for all values of x<1, as square root of given function is real only for x>=0. Hence point (1,0) lies on the graph and the graph does not exist for all values of x<1 Graph increases as …

Jul 28, 2017 · Next note that ln x is the inverse function of e^x. So the graph of y = ln x can be found by swapping x and y, that is by reflecting the above graph in the diagonal line y=x, to get: graph {y=ln x [-10, 10, -5, 5]} Note that: It is monotonically increasing.

Mar 7, 2018 · Like this. ln (x) , logarithmic function , is a standard graph you should be knowing . ln (x) = 0 at x=1 , similarly ln (x/3) = 0 at x=3. Thus , they have the same nature graph with only different x intercept , required graph having it at x=3. graph {ln (x/3) [-10, 10, -5, 5]}

Feb 18, 2016 · Assuming that you are familiar with the graph of y=ln (x): graph {lnx [-1.715, 18.285, -5.04, 4.96]} Reflect the portion of the curve that lies below the x-axis above the x-axis. graph {abs (ln (x)) [-0.92, 19.08, -3.28, 6.72]}

May 21, 2015 · Actually, the range of y=ln (x) (the possible output values y of your function) is all the real y. You can see this from the graph as well: graph {ln (x) [-5.55, 5.55, -2.774, 2.775]}