Exponential relationship!
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fundamental difference between a polynomial function and an exponential function?
No, a linear function does not increase faster than an exponential function. While linear functions grow at a constant rate, exponential functions grow at an increasing rate, meaning that as the input value increases, the output of the exponential function will eventually surpass that of the linear function. For sufficiently large values of the input, the exponential function will outpace the linear function significantly.
"The" exponential function is ex. A more general exponential function is any function of the form AeBx, for any non-xero constants "A" and "B". Alternately, Any function of the form CDx (for constants "C" and "D") would also be considered an exponential function. You can change from one form to the other.
Not every relation is a function. But every function is a relation. Function is just a part of relation.
A __________ function takes the exponential function's output and returns the exponential function's input.
The parent function of the exponential function is ax
No. The inverse of an exponential function is a logarithmic function.
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If the question is, Is y = x4 an exponential function ? then the answer is no.An exponential function is one where the variable appears as an exponent.So, y = 4x is an exponential function.
If y is an exponential function of x then x is a logarithmic function of y - so to change from an exponential function to a logarithmic function, change the subject of the function from one variable to the other.
fundamental difference between a polynomial function and an exponential function?
No, an function only contains a certain amount of vertices; leaving a logarithmic function to NOT be the inverse of an exponential function.
"The" exponential function is ex. A more general exponential function is any function of the form AeBx, for any non-xero constants "A" and "B". Alternately, Any function of the form CDx (for constants "C" and "D") would also be considered an exponential function. You can change from one form to the other.
Not every relation is a function. But every function is a relation. Function is just a part of relation.
The only non-exponential function that has this property would be a function that has the constant value of zero.