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An exponential function is of the form y = a^x, where a is a constant. The inverse of this is x = a^y --> y = ln(x)/ln(a), where ln() means the natural log.

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What is the relationship between a logarithmic function and its corresponding graph in terms of the log n graph?

The relationship between a logarithmic function and its graph is that the graph of a logarithmic function is the inverse of an exponential function. This means that the logarithmic function "undoes" the exponential function, and the graph of the logarithmic function reflects this inverse relationship.


Is the inverse of an exponential function the quadratic function?

No. The inverse of an exponential function is a logarithmic function.


Is an exponential function is the inverse of a logarithmic function?

No, an function only contains a certain amount of vertices; leaving a logarithmic function to NOT be the inverse of an exponential function.


A logarithmic function is the inverse of an exponential function?

Yes.


What do you call the inverse function of the exponential function?

Logarithmic Function


Does an exponent have an opposite?

The inverse function of the exponential is the logarithm.


How can you graph the inverse of a function without finding the ordered pairs first?

To graph the inverse of a function without finding ordered pairs, you can reflect the original graph across the line ( y = x ). This is because the coordinates of the inverse function are the swapped coordinates of the original function. Thus, for every point ( (a, b) ) on the original graph, the point ( (b, a) ) will be on the graph of its inverse. Ensure that the original function is one-to-one for the inverse to be valid.


What is inverse of exponential function?

The logarithm function. If you specifically mean the function ex, the inverse function is the natural logarithm. However, functions with bases other than "e" might also be called exponential functions.


What is this type of function called y equals mx to the power of -b?

Assuming that b > 0, it is an inverse power function or an inverse exponential function.


How does the graph of an exponential function differ from the graph of a linear function and how is the rate of change different?

The graph of a linear function is a line with a constant slope. The graph of an exponential function is a curve with a non-constant slope. The slope of a given curve at a specified point is the derivative evaluated at that point.


Function and inverse of function graph is the same?

In general the function and it inverse are not the same and do not have the same graph. If we look at a special function f(x)=x, it is equal to its inverse and the graph is the same. Think of the inverse of a function as changing all the x's to y's and vice versa. Well, in the function f(x)=x, all the x's are already y's and vice versa so it is its own invese.


Write an exponential function and graph the function?

f(x)=2X-2