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.
No. For x < 0, it decreases, for x > 0, it increases. In each of these two parts, it is monotic, though.No. For x < 0, it decreases, for x > 0, it increases. In each of these two parts, it is monotic, though.No. For x < 0, it decreases, for x > 0, it increases. In each of these two parts, it is monotic, though.No. For x < 0, it decreases, for x > 0, it increases. In each of these two parts, it is monotic, though.
Exponential growth occurs when a quantity increases exponentially over time.
"The base of the exponent" doesn't make sense; base and exponent are two different parts of an exponential function. To be an exponential function, the variable must be in the exponent. Assuming the base is positive:* If the base is greater than 1, the function increases. * If the base is 1, you have a constant function. * If the base is less than 1, the function decreases.
dependent variable improves (or increases) as independent variable increases
If it is inverse, they do the opposite. So as one increases, the other decreases, and vice versa.
base
The rate that your speed increases or decreases.
an exponential growth function describes an amount that increases exponentially over time.
There are lots of situations that are not modelled by exponential functions. A simple example is when something increases linearly. For example, assuming you have a fixed daily income, and save all of it, the amount of money you have is directly proportional to the number of days worked. No exponential function there, whatsoever.There are lots of situations that are not modelled by exponential functions. A simple example is when something increases linearly. For example, assuming you have a fixed daily income, and save all of it, the amount of money you have is directly proportional to the number of days worked. No exponential function there, whatsoever.There are lots of situations that are not modelled by exponential functions. A simple example is when something increases linearly. For example, assuming you have a fixed daily income, and save all of it, the amount of money you have is directly proportional to the number of days worked. No exponential function there, whatsoever.There are lots of situations that are not modelled by exponential functions. A simple example is when something increases linearly. For example, assuming you have a fixed daily income, and save all of it, the amount of money you have is directly proportional to the number of days worked. No exponential function there, whatsoever.
When pressure decreases, entropy increases. Increases in entropy correspond to pressure decreases and other irreversible changes in a system. Entropy determines that thermal energy always flows spontaneously from regions of higher temperature to regions of lower temperature, in the form of heat.
Acceleration increases when force increases and decreases when force decreases.
When a wave period decreases, speed increases.
The wavelength decreases.
The radiant energy increases as the frequency increase and the radiant energy decreases as the frequency decreases.
The close the latitude is to 0, the hotter it is.
It decreases with height.
it decreases