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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
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.
Which graph best represents a logarithmic function?
an exponential function flipped over the line y=x
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".
A function takes the exponential function's output and returns the exponential function's input?
A __________ function takes the exponential function's output and returns the exponential function's input.
Does an exponential growth function represents a quantity that has a constant doubling time?
False
An exponential decay function represents a quantity that has a constant doubling time?
depends it can be true or false Apex: False
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
What is the relationship between the growth rate of a population and the exponential function ekt?
The growth rate of a population is directly related to the exponential function ekt. The constant k represents the growth rate, with larger values of k indicating faster growth and smaller values indicating slower growth. The function ekt models exponential growth, where the population increases rapidly over time.
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.
Which graph best represents a logarithmic function?
an exponential function flipped over the line y=x
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.
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.
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".
