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How do you change an exponential functions to a logarithmic 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.
A logarithmic function is the inverse of an exponential function?
Yes.
Does Exponential decay occurs if the base of an exponential function is a positive integer?
Yes.
The horizontal asymptote for exponential function is?
The graph of an exponential function f(x) = bx approaches, but does not cross the x-axis. The x-axis is a horizontal asymptote.
An exponential function is the inverse of a logarithmic function?
Yes, y = loga(x) means the same as x=ay.
An exponential growth function describes an amount that decreases exponentially over time?
an exponential growth function describes an amount that increases exponentially over time.
What determines whether the on a graph of an exponential functions increases or decreases?
An exponential function such as y=b^x increases as x goes to infinity for all values in the domain. That is, the function increases from left to right anywhere you look on the graph, as long as the base b is greater than 1. This is called a "Growth" function. However, the graph is decreasing as x goes to infinity if (a) the opposite value of the input is programmed into the function, as in y=b^-x, or if (b) the base is less than 1, as in y=(1/2)^x.
What does an exponential graph and logistic graph of growth look like?
Yuo cannot include a graphical illustration here. Take a look at the Wikipedia, under "exponential function" and "logistic function". Basically, the exponential function increases faster and faster over time. The logistics function initially increases similarly to an exponential function, but then eventually flattens out, tending toward a horizontal asymptote.
What exponential decay function describes an amount that decreases exponentially over time.?
True
What is the difference between linear and exponential function?
The linear function increases by the same number each step. The exponential function increases more each step. (1,1),(2,2),(3,3) etc (1,1).(2,4),(3,9),(4,16), etc see how the second one increases a lot?
What is the difference between a linear and exponential function?
A linear function grows ( or shrinks) at a constant rate called its slope.An exponential function grows ( or shrinks) at a rate which increases(or decreases)over time. From a practical standpoint linear growth (or shrinkage) is simple and predictable. Exponential growth is essentially out of control and unsustainableand exponential decay soon becomes negligible.if y=az + b then y is a linear function of z. If y=aebz then y is an exponential function of z. If y= acbz then y is still an exponential function of z because you can substitute c=ek (so that k=logec) to give you y=aekbz .
Does an exponential growth function describe an amount that increases constantly over time?
Yes.
Does an exponential growth function describes an amount that increases constantly over time?
Yes.
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.
What is the parent function for the exponential function?
The parent function of the exponential function is ax
Is the inverse of an exponential function the quadratic function?
No. The inverse of an exponential function is a logarithmic function.
How does the kinetic energy vary as a function of temperature?
As temperature increases, kinetic energy increases. As temperature decreases, kinetic energy decreases. Temperature is directly proportional to kinetic energy.
