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.
an exponential function flipped over the line y=x
It is an exponential function.
When the graphdecreasesat a rapid rate. Instead of just a negative straight line it will be a negative half parabola decreasingextremelyfast and then leveling out.
If two variables are inversely related, then a graph showing their relationship should be shaped like a hyperbola. A hyperbola will start out really high, drop a lot in a short distance, then drop less and less as the graph goes further to the right. It looks similar to an exponential decay function, but less extreme. Here is an example of what one could look like: http://www.wolframalpha.com/input/?i=1%2F4x (In most practical applications, only the right side of the graph would be shown.)
Exponential Decay. hope this will help :)
An exponential function is a nonlinear function in the form y=ab^x, where a isn't equal to zero. In a table, consecutive output values have a common ratio. a is the y-intercept of the exponential function and b is the rate of growth/decay.
No, it would not.
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.
f(x)=2X-2
As time passes - as the graph goes more and more to the right, usually - the graph will get closer and closer to the horizontal axis.
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.
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 flipped over the line y=x
It is an exponential function.
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.
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.