What is the domain of ln(u) ?smeiste said:Homework Statement
Homework Equations
I'm looking over in old midterm to prepare for a final and can't figure out what the correct answer is. No answers were ever given. I'm not cheating on anything, would just like to know what the correct answer is and why :)
The Attempt at a Solution
I think the answer is either B or C but I can't decide.
smeiste said:
smeiste said:
The question is: "For what values of x is g(x) greater than zero?" Don't forget that in order for g(x) > 0, x must also be in the domain of g.smeiste said:
smeiste said:
The purpose of applying ln to a graph is to transform the data into a logarithmic scale, which can help to better visualize and analyze the relationship between variables.
To apply ln to a graph, you first need to plot the data points on a Cartesian plane. Then, you can take the natural logarithm of each data point and plot the new points on the same graph. Alternatively, you can use a graphing calculator or software to automatically apply ln to the data and plot the results.
The natural logarithm function, ln(x), is continuous for all positive values of x. This means that on a graph, ln would be continuous for all values of x greater than 0.
A function is considered continuous on a graph if there are no breaks or gaps in the graph. This means that the graph is a smooth, unbroken curve without any sudden jumps or interruptions. In other words, the function can be drawn without lifting the pen from the paper.
The natural logarithm function can be applied to any data that is represented by positive numbers. However, it is most commonly used for data that shows exponential growth or decay, as it can help to linearize the relationship between variables on a graph.