SOLUTION: Evaluate the logarithmic funtion for three values of x between zero and one, three values of x greater than 1, and x=1. Show your work. Use the resulting ordered pairs to plot the

Question 328897: Evaluate the logarithmic funtion for three values of x between zero and one, three values of x greater than 1, and x=1. Show your work. Use the resulting ordered pairs to plot the graph. State the domain and the range of the function. Show the graph. g(x) = ln (x+2)
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Select any values that you like from the given intervals. Substitute each one, one-by-one, into the given function. Calculate the value of the function, which is to say, the value of

.

So, do it 7 times, once for each of the specified input values. The points to plot will be the ordered pairs formed by the input value as the first coordinate and the resulting value of the function as the second coordinate.

The asymptote of

, so the asymptote of

must be

such that

. So just set the function contained in the log argument equal to zero and solve for

. The resulting statement will be the equation of the asymptote.

The domain is related to finding the asymptote. In fact, once you have written the equation for the asymptote, just replace the equals sign with a greater than (>) sign and you have an expression for the domain. The range is all real numbers.

John

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