0
votes
1answer
24 views

Log arithmic Equation - Graph curved line

I'm recreating the graph picture below with equations. Using the online graphing tool "Desmos": These are all the equations I have done so far, with there restrictions top stop at specific points. ...
0
votes
1answer
46 views

Graphing picture equations - Curve Lines

I'm basically trying to recreate the graph picture below. Using a online graphing tool "Desmos": I managed to create the equations for the straight lines and circles for the sunset picture. ...
3
votes
1answer
41 views

Does this graph depict a log scale?

I'm a freelance editor and this graph is in a report and labeled as a log scale. (The version you see is my revision that removes the words "log scale".) The client insists that it is a log scale, ...
3
votes
2answers
89 views

Behaviour of the function $\ln(1+ x^2)$

Thus function has derivative equal to: $\frac{2x}{1+x^2}$. This indicates that it will flatten out while approaching infinity, ie, should have an asymptote. Yet, the function does not have any real ...
0
votes
0answers
27 views

Can not determine scale of x-axis of attached graph

I am trying to digitize the data from the graph in this link. I thought the $x$-axis was in $\log_{10}$ scale but after trying to digitize this way the points seemed off. I also tried digitizing in ...
1
vote
2answers
69 views

Can someone suggest a function to achieve this graph?

I need a function that achieves a curved, logarithmic (I think) graph. The graph plots the level progression of a player of a simple game over time. Some players might progress faster, others slower, ...
0
votes
1answer
34 views

Sketching the graph of $y =\ln(4-x)$

$y = \ln(4 - x) $ This graph has two operations applied to the $\ln x$ graph - a reflection and a translation. If you reflect the graph in the $y$-axis first, and then shift the graph 4 units to ...
1
vote
1answer
30 views

Graphing $f(x)=\log7(x-7)-4$ [closed]

Could someone help me get started on this problem? Graph function $f(x)=\log7(x-7)-4$. Show at least two points and dash in any asymptotes. I'm not quite understanding how to find points with ...
1
vote
2answers
23 views

How do I find the inverse of this exponential function?

$x=-3(3^{-x})+9$ I know the steps up until a certain point. $x=-3(3^{-y})+9$ $x-9=-3(3^{-y})$ $\frac{(x-9)}{-3} = 3^y$ $ln (\frac{x-9}{-3}) = -y * ln 3$ Not sure what to do from here. I know I ...
1
vote
1answer
26 views

Sketching Logs with Quadratic Terms

$\log(x^2+1) = y$ asymptote at $x^2+1 > 0$ and so there is no asymptote $x$ and $y$ intercept at $(0,0)$ How do you know that the function goes both directions, and has a dip in the middle? ...
0
votes
1answer
589 views

Graphing: Given two points on a graph, find the logarithmic function that passes through both.

Is there such a method to do this? I would like to come up with a logarithmic function (a graph that looks like a square root graph) that passes through two given points. Haven't had any luck in ...
0
votes
1answer
87 views

Steps to Graph Exponential Equations & Absolute Value

how to sketch: $-e^{|-x-1|} + 2$ Can someone clarify: $|f(x)|:$ we draw $f(x)$ and then reflect the ($-y$ parts) in the $x$-axis $f|(x)|:$ we draw $f(x)$ and then reflect the ($-x$ parts) in the ...
0
votes
3answers
1k views

“Linearize” an exponential-looking graph with log function

This may be a beginner question, but I can't quite wrap my head around logs... I have a set of data (from an experiment) which gives me an exponential-looking graph (Fig 1). I'd like to "linearize" ...
1
vote
2answers
62 views

What is the domain of this function? (Don't know how to solve it, logarithms…)

Please explain how you solved it, thanks. $f(x)=\sqrt{\log_x2 - \log_2x}$
0
votes
2answers
84 views

Intuition behind log plotting

The two plots are the same, except the 2nd one has been log transformed on the y axis. Could I please draw your attention to what happens when Theta >0.65? After taking the log-lin plot it seems ...
-1
votes
2answers
2k views

Writing an equation for a log function given the graph

I have the following graph for a logarithmic function $f$: I don't know any thing about writing an equation for a logarithmic function by knowing it's graph. All what I know is how to draw a graph ...
3
votes
1answer
610 views

What is the opposite of logarithmic scale?

If one wants to plot a variable whose value changes drastically, it makes sense to plot its order of magnitude. That way, the smaller values in the plot aren't squished all the way at the bottom. This ...
0
votes
2answers
61 views

Use a graph to estimate the time at which the number was increasing most rapidly

For the period from 2000 to 2008, the percentage of households in a certain country with at least one DVD player has been modeled by the function $f(t) = \frac{87.5}{1 + 17.1e^{−0.91t}}$ where the ...
3
votes
4answers
300 views

Does $\log(x)$ stop at a finite value when x is infinite?

Does $\log(x)$ stop at a certain value when x is infinite? Or is it also infinite? I can see the graph go straighter and straighter in the horizontal direction, and I wonder if it will eventually be ...
0
votes
1answer
85 views

Finding correlation in plotted graph

I have the following sets of values for $x$ and $y$: $x$: $0, 1.5, 2.0, 3.0, 5.0$ $y$: $0.00, 0.92, 1.41, 2.60, 5.59$ I am to find a correlation between the two sets of values. A graph of them ...
0
votes
0answers
52 views

Finding correlation through plotting logarithms

I have a problem in which I am to find the correlation between two sets of data. Plotting them as logarithms makes for a constant increase, except for one of the data points (the first), as seen in ...
1
vote
2answers
186 views

Finding a logarithmic function from a graph

Here's the graph. When I use the points $(-1,1)$ or $(-3,2)$ to use in the equation $a\log(-x-1)+k$, I can't find a finite value for k. Any ideas?
1
vote
2answers
1k views

Graph $f(x)=\ln x+2$

Graph $f(x)=\ln x+2$ And find all intercepts and asymptotes. I know exactly how the graph looks and I have a sketch in front of me. Now, for the intercepts, $x$-int=$-1$ and $y$-int$=-\infty+2$ ...
2
votes
2answers
155 views

Graph $f(x)=e^x$

Graph $f(x)=e^x$ I have no idea how to graph this. I looked on wolframalpha and it is just a curve. But how would I come up with this curve without the use of other resources (i.e. on a test).
0
votes
1answer
341 views

Sketching Logarithmic with labeling intercepts and asymptotes

$y=-2\log(x-2)$ asymptotes $x=2$ lets $x=0$ $y=2\log(0-2)$ $y=2\log(-2)$ lets $y=0$ $0=2\log(x-2)$ I think but I don't know how to draw the graph. The answer of the graph is ...
1
vote
2answers
3k views

How do I determine the increasing order of growth of a set of functions?

I've been struggling with a homework-like problem (I'm a self-studier) and having trouble understanding the 'hints' I've already received. Please forgive my lack of knowledge around terminology. ...
1
vote
2answers
276 views

Graph of a Log Function

I am curious as to why Wolfram|Alpha is graphing a logarithm the way that it is. I was always taught that a graph of a basic logarithm function $\log{x}$ should look like this: However, ...
2
votes
2answers
1k views

What does the Matlab loglog plots do that is useful?

If there is a exponential relationship $y = e^x$ and we take the logarithm of this we can see a linear relationship $\ln (y) = x$. So we could plot the logarithm of the y-axis values against the x ...
2
votes
3answers
253 views

Plotting $\frac{1}{\ln x}$

I need assistance in plotting the graph of $\frac{1}{\ln x}$. wolframalpha gives this. How to plot this function (both real and imaginary part) using calculus?
0
votes
1answer
265 views

How to learn graph plots of math functions?

I really don't know how to we say that a log function would look like this or polynomial function would look like this. I know that if I have like $X + Y = c$, I can draw straight line by taking ...
0
votes
2answers
406 views

How to scale data for a log graph

I'm writing a program to "printer plot" some data (printing "*" characters), and I'd like to scale the data on the vertical axis logarithmically (ie, semi-log chart). I have data values ranging from ...
0
votes
2answers
56 views

Plot Line that gets exponentially larger around a point

I'm building a program that calculates the cost of an item based on it's size (let's say a bamboo pole). As the customer requests a longer pole, it gets hard to find a bamboo, plus requires more ...