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The graph of inverse function of any function is the reflection of the graph of the function about the line y=x. ... The logarithmic function, y=logo(x), can be shifted k units vertically and h units horizontally with the equation y=logo(x+h)+k. Consider the logarithmic function y=[log2(x+1)3].
Find the values of the function for a few negative values of x. For an easier calculation you can use the exponential form of the equation, 4y=x. Plot the points and join them by a smooth curve. You can see that the graph is the reflection of the graph of the function y=log4(x) about the y -axis.
Flip across the y-axis. When the negative sign is in front of the log, then we will see that the graph becomes the mirror image when the x-axis is the mirror. So, for the function y = -log base2 (x), we see the graph flips over the x-axis.
Algebraically, any number a raised to the zero power will equal 1, so the logarithm of any number at y = 0 is one. From this analysis, it can be concluded that as the base of a logarithmic function increases, the graph approaches the asymptote of x = 0 quicker.
I need to find the logarithmic curve between two points A(0,5), B(180,9) We know that the formula for logarithmic function is: f(x)=log(x)so 5=log(0),9=log(180) f(x)=log3.66(x+656.7) f(x)=log1.77(x5)
Determine the type of scale you wish to use. ... Mark the x-axis scale. ... Determine that you need a logarithmic scale for the y-axis. ... Label the logarithmic scale. ... Find the position on the x-axis for a data point. ... Locate the position along the logarithmic scale y-axis.
Logarithms and logarithmic scaling are tools that you want to use in your Excel charts because they enable you to do something very powerful. With logarithmic scaling of your value axis, you can compare the relative change (not the absolute change) in data series values.
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