How do you graph ln(abs(x))? + Example - Socratic
2016年1月24日 · 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 both the positive and ...
How do you graph #y=ln(tan^2 x)#? - Socratic
2017年12月23日 · How do I find the exponential function of the form #f(x)=ab^x# for which #f(-1)=10# and #f(0)=5#? How do I find an exponential function that passes through two given points? What is the range of a logistic function?
How do you sketch the graph #y=ln(1/x)# using the first and
2017年1月26日 · f(x) = ln(1/x) is monotone and strictly decreasing in its domain and therefore has no local extrema, and it is concave up everywhere. Using the properties of logarithms we should see that: ln(1/x) = -lnx If we want to go through the whole sketcing process as an an exercise, we start by noting that y=ln(1/x) is defined and continuous for x in (0,+oo) and we analyze the limits at the boundaries ...
How do you sketch #f(x,y) = ln(x^2+y^2)#? - Socratic
2015年2月23日 · Hello, Let mathcal(S) the surface of equation z = ln(x^2+y^2) : it's the graph of your function f. Remark that mathcal(S) is a revolution surface, because f(x,y) = g(r) where r = sqrt(x^2+y^2) is the polar radius. Actually, g(r) = ln(r^2) = 2 ln(r). So, graph the curve of equation z = 2ln(x) in the xOz plane. You get : Finally, rotate this …
How do you graph #y=ln(x^2 +1)#? - Socratic
2017年5月3日 · 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 ...
How do you graph f(x)=ln x + 6? - Socratic
2017年10月19日 · y = f(x) = ln x + 6 graph{ln x + 6 [-10, 10, -5, 5]} y = f(x) = ln x + 6 y = -2, x = 0.0003 y = -1, x = e^-7 = 0.0009 y = 0, x = e^-6 = 0.0025 y = 1, x = e^-5 = 0.0067 y = 2, x = e^-4 = 0.0183 y = 5, x = e^-1 = 0.3679 y = 6, x = e^0 = 1 y = 7, x …
How do you graph y=xlnx? - Socratic
2016年12月14日 · See tally-mark like graph and explanation. x>0 to make ln x real. The x-intercept ( y = 0 ) is 1. At x= o, y takes the indeterminate form 0 X (-oo) Yet, the limit is 0. since x approaches 0 at a faster rate than ln x approaches 0, as x to 0_+.
How do you graph y=ln(x-k)+2? - Socratic
2017年9月1日 · Assuming we know the general shape of the logarithmic curve (which for ln(x) is a reflection of the exponential curve e^x across the line y=x), we can draw the function ln(x-k). Arbitrarily setting k=5 for the sake of graphing the function in the Socratic graphing system, we know that ln(x-5) will have the domain x>5, have an asymptote to -oo ...
What is the limit as x approaches infinity of #ln(x)#? - Socratic
2015年3月24日 · You know that if #x>1 ln(x)>0# so the limit must be positive. You also know that #ln(x_2)-ln(x_1)=ln(x_2/x_1)# so if #x_2>x_1# the difference is positive, so #ln(x)# is always growing. If #lim_{x->infty}ln(x) = M in RR# you have #ln(x)< M => x < e^M#, but #x->infty# so #M# can not be in #RR#, and the limit must be #+infty#
How do you graph -2 ln x? - Socratic
2017年4月30日 · How do you graph #-2 ln x#? Precalculus Exponential and Logistic Functions Exponential and Logistic Graphs ...