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Does an exponential growth function represents a quantity that has a constant doubling time?
False
An exponential growth function represents a quantity that has a constant halving time?
That would be an exponential decay curve or negative growth curve.
Graph Inverse function of the exponential function?
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.
What happens to the graph of an exponential function if b is a function between 0 and 1?
This question appears to relate to some problem for which we have no information. The graph of an exponential function shows a doubling at regular intervals. But we are not told what the role is of b, so we cannot comment further.
A logarithmic function takes the exponential function's and returns the exponential function's input?
output
Does an exponential growth function represents a quantity that has a constant doubling time?
False
An exponential growth function represents a quantity that has a constant doubling time?
True
An exponential function is written as Fx equals a bx where the coefficient a is a constant the base b is but not equal to 1 and the exponent x is any number?
positive
An exponential growth function represents a quantity that has a constant halving time?
That would be an exponential decay curve or negative growth curve.
What non-exponential function is its own derivative?
The only non-exponential function that has this property would be a function that has the constant value of zero.
What the difference between an exponential equation and a power equation?
y = ax, where a is some constant, is an exponential function in x y = xa, where a is some constant, is a power function in x If a > 1 then the exponential will be greater than the power for x > a
Which graph best represents a logarithmic function?
an exponential function flipped over the line y=x
How does an exponential function differ from a power function graphically?
An exponential function of the form a^x eventually becomes greater than the similar power function x^a where a is some constant greater than 1.
In a medical experiment the number of bacteria is halved every hour. What type of function represents this pattern?
Exponential Decay - Apex
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.
Graph Inverse function of the exponential function?
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.
How are exponential functions characterized?
An exponential function is any function of the form AeBx, where A and B can be any constant, and "e" is approximately 2.718. Such a function can also be written in the form ACx, where "C" is some other constant, used as the base instead of the number "e".
