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If you double the input of a function and it results in half the output and if you triple the input and it results in a third of the output what can be guessed about the function?
~the function is most likely inversely proportional. ~more input results in less output.
What is increasing and decreasing function?
To increase something means to make it bigger, and to decrease something means to make it smaller. These are used often with numerical values (numbers), e.g. I increased (made bigger) 20 to 30. Here I am increasing by 10, etc.
What is fourteen less than three fourths of a number is negative eight?
fourteen less than three fourths of a number is negative eight find the number
What characteristics of the graph of a function by using the concept of differentiation first and second derivatives?
If the first derivative of a function is greater than 0 on an interval, then the function is increasing on that interval. If the first derivative of a function is less than 0 on an interval, then the function is decreasing on that interval. If the second derivative of a function is greater than 0 on an interval, then the function is concave up on that interval. If the second derivative of a function is less than 0 on an interval, then the function is concave down on that interval.
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.
