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What are the followings-cyclic function-differentiability of function-homogeneous function-hyperbolic function-inverse function-inverse hyperbolic fuction-logarithmic function-mean value of function?

In: Calculus [Edit categories]

Relevant answers:

Does every function have an inverse that is a function?
No. A simple example of this is y = x2; the inverse is x = y2, which is not a function.
Example of a function that has no inverse function?
y = sin x is such a function. It has an inverse, of course; but the inverse, sin-1, strictly speaking, is not a function.Example: Given that x = pi/6, y must equal 0.5. However, given that y = 0.5, x...
An exponential function is the inverse of a logarithmic function?
Yes, y = loga(x) means the same as x=ay.
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.
Is the inverse of a quadratic function not a function?
Yes, what you do is imagine the function "reflected" across the x=y line. Which is to say you imagine it flipped over and 'laying on its side". Functions have only one value of y for each value of x....