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Q: A: ### Quick Answer

To graph a logarithmic function, the domain of the function is determined, which is a set of all allowable x values. The domain is used to calculate a range of y values. The vertical asymptote gives the value near which the function changes rapidly. The x and y intercepts are calculated. Using all this information, the graph can be sketched with the coordinates obtained from the domain and range.

Know MoreFor the simplest logarithmic functions, the logs are not defined when x=0 or x is negative. So the domain for such a log equation is restricted to only positive values for x. An equation such as y=log(x+3) would be defined for x values that are greater than -3. Once the domain is determined, y values can be calculated using the x values to determine the range of the function. The asymptote is calculated to determine the values where the y values change exponentially for small increases in x. For y=log x, the asymptote is the line x=0. Therefore, additional values of x should be used between 0 and 1 to calculate y values in order to obtain the coordinates to draw the curve. For y=log(x+3), the asymptote is at x=-3. Therefore the addition x values should fall between x=-2 and x=-3. The x and y intercept are calculated, if applicable for the equation. Once all the (x,y) coordinates are obtained and plotted, the graph can be sketched.

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## What is the domain of a function?

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Full Answer >**The domain of a function is all of the x values of the function without any repetition.**A vertical line has only one x value as its domain, while a horizontal line has a domain of all x values.Filed Under: - Q:
## What is the difference between a function and a relation?

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Full Answer >**A relation is a set of numbers that have a relationship through the use of a domain and a range, while a function is a relation that has a specific set of numbers that causes there to be only be one range of numbers for each domain of numbers.**All functions are relations, but all relations are not functions.Filed Under: - Q:
## What is domain and range interval notation?

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Full Answer >**Interval notation is a method used to write the domain and range of a function.**In interval notation, there are five basic symbols to be familiar with: open parentheses (), closed parentheses [], infinity (imagine an 8 sideways), negative infinity (an 8 sideways with a negative sign in front of it) and union (a symbol similar to an elongated U).Filed Under: - Q:
## How do you use the cosh(x) function?

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Full Answer >**The cosh(x) function is the mathematical hyperbolic cosine function, and it is used to describe the shape of a hanging cable and may sometimes appear as ch(x).**The hyperbolic cosine function is a part of the hyperbolic function family which is based on standard trigonometric functions. The cosh(x) function, when combined with the sinh(t) function, describes the right half of a hyperbola.Filed Under:

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