List the exact coordinates of four points that lie on the graph of y = log(x). ( , ) ( , ) ( , ) ( , )

Evaluate the expressions below. Check your answers in the Gizmo. log7(49) = log9(1) = log3(81) = log2( 1 8 ) =

2. Pan (drag) the grid so you can see more of the negative parts of the x- and y-axes. A. How is the graph of y = 4x related to the x-axis (y = 0) as x goes to negative infinity? The line y = 0 is a horizontal asymptote in the graph of y = 4x . B. What is the equation of the vertical asymptote of the graph of y = log4(x)? C. The domain is the set of all x-values of a function, and the range is all the y-values. What are the domain and range of the function y = 4 x and its inverse, y = log4(x)? Domain of y = 4 x : Range of y = 4x : Domain of y = log4(x): Range of y = log4(x): D. Why do you think the range of y = 4x is the same as the domain of y = log4(x)? E. Vary b. In general, what is the equation of the asymptote, the domain, and the range of the function y = logb(x)? Asymptote: Domain: Range: