0
votes
0answers
26 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
66 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
31 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
2answers
22 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
385 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
64 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
279 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
77 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 ...
0
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
476 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
54 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
290 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
83 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
50 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
177 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
154 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
326 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
268 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
239 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
256 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
384 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 ...