As x tends towards 0 (from >0), log(x) tend to - infinity.
As x tends to + infinity so does log (x), though at a much slower rate.
When you graph a tangent function, the asymptotes represent x values 90 and 270.
Not sure what non-verticle means, but a rational function can have up to 2 non-vertical asymptotes,
It is the logarithmic function.
No, it will always have one.
When you plot a function with asymptotes, you know that the graph cannot cross the asymptotes, because the function cannot be valid at the asymptote. (Since that is the point of having an asymptotes - it is a "disconnect" where the function is not valid - e.g when dividing by zero or something equally strange would occur). So if you graph is crossing an asymptote at any point, something's gone wrong.
When you graph a tangent function, the asymptotes represent x values 90 and 270.
The relationship between a logarithmic function and its graph is that the graph of a logarithmic function is the inverse of an exponential function. This means that the logarithmic function "undoes" the exponential function, and the graph of the logarithmic function reflects this inverse relationship.
Not sure what non-verticle means, but a rational function can have up to 2 non-vertical asymptotes,
2
If y is an exponential function of x then x is a logarithmic function of y - so to change from an exponential function to a logarithmic function, change the subject of the function from one variable to the other.
n mathematics, the logarithmic function is an inverse function to exponentiation. The logarithmic function is defined as The base of the logarithm is a. This can be read it as log base a of x. The most 2 common bases used in logarithmic functions are base 10 and base e.
A sign chart helps you record data about a function's values around its _____ and _____ asymptotes. zeros vertical
No, an function only contains a certain amount of vertices; leaving a logarithmic function to NOT be the inverse of an exponential function.
Asymptotes
It is the logarithmic function.
Asymptotes are one way - not the only way, but one of several - to analyze the general behavior of a function.
Logarithmic Function