![]() ![]() Graph the logarithmic function f(x) log 2 x and state range and domain of the function. Now let’s look at the following examples: Example 1. Similarly, if the base is less than 1, decrease the curve from left to right. However, if the axes hold state is on before you call loglog, those properties do not change, and the plot might display on a linear or semilog scale. If the base of the function is greater than 1, increase your curve from left to right. In this situation, you will need to examine the graph carefully to determine what is happening. The loglog function plots coordinates on a log scale by setting the XScale and YScale properties of the axes to log. The horizontal shift will affect the possibility of a y-intercept and the vertical shift will affect the x-intercept. If the transformed parent function includes a vertical or horizontal shift, all bets are off. ![]() Like the parent function, this transformation will be asymptotic to the y-axis, and will have no y-intercept. Note that the value of a may be positive or negative. The transformed parent function of the form y = a log b x, will also always have a x -intercept of 1, occurring at the ordered pair of ( 1, 0).There is no y-intercept with the parent function since it is asymptotic to the y-axis (approaches the y-axis but does not touch or cross it). The parent function, y = log b x, will always have an x -intercept of one, occurring at the ordered pair of (1,0).By examining the nature of the logarithmic graph, we have seen that the parent function will stay to the right of the x-axis, unless acted upon by a transformation. ![]()
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