To see the difference between an exponential function and a power function, we compare the functions y=x^2 and y=2^x. Note that a function of the form f(x)=x^b for some constant b is not an exponential function but a power function. Exponential functions have constant bases and variable exponents. More generally, any function of the form f(x)=b^x, where b>0, \, b \ne 1, is an exponential function with base b and exponent x. If a function of the form y = ax n is graphed on log-log paper, a straight line will be produced, with slope n and y-intercept log (a).Which is an exponential function. This is useful for determining power relationships. In a log-log graph, both the x-axis and the y-axis are logarithmic. The second type is called a log-log graph. When graphed on semi-log paper, this function will produce a straight line with slope log (a) and y-intercept b.Įxample: Plot the function y = 5 x on an ordinary axis (x- and y- linear scales) as well as on a semi-log axis.
Consider a function of the form y = ba x. The x-axis has a linear scale, which means the ticks are evenly spaced.Ī semi-log graph is useful when graphing exponential functions. In a semi-log graph the y-axis is logarithmic, which means the seperation between the ticks on the graph is proportional to the logarithm of numbers. There are two types of log graphs that can be used when plotting data. Logs are helpful when plotting certain types of data. Let's take a closer look at the difference between semi-log and log-log graphs. Study Blue Tutorial: Note-taking and Flashcard Tool.Evernote Tutorials: Note-taking and Organization tool.Reading, Note-taking, and Learning Strategies.
#Exponential graph builder manual#
#Exponential graph builder how to#
How to Find Books on the Library Website.How to Find Articles Using Google Scholar.Introduction to Trigonometric Functions.