IEVaibhov said:I was just wondering as to how I can plot the graph of y=1/log|x| without putting a lot of values of x and obtaining corresponding values of y.
I mean, how can I draw this graph using the graph of y=log x or the graph of log|x|? Is there a way?
The domain of the graph is all real numbers except 0 and 1. The range is all real numbers greater than 0.
The x-intercept can be found by setting y = 0 and solving for x. The y-intercept can be found by setting x = 0 and solving for y. However, in this case, there is no y-intercept since 1/log|x| is undefined at x = 0.
The graph has two asymptotes: x = 0 and y = 0. As x approaches 0 from the left and right, the graph approaches positive and negative infinity, respectively. As y approaches 0 from the top and bottom, the graph approaches positive and negative infinity, respectively.
The concavity can be determined by taking the second derivative of the function. If the second derivative is positive, the graph is concave up. If the second derivative is negative, the graph is concave down. In this case, the second derivative is always negative, so the graph is always concave down.
Yes, most scientific calculators have the capability to plot graphs. You can also use online graphing tools or graphing software to plot the graph of y=1/log|x|.