It can be, but it need no be.
Point A. APEX
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.
The graph of is shifted 3 units down and 2 units right. Which equation represents the new graph?
Exponential Decay. hope this will help :)
The trend of an exponential graph depends on the base of the exponential function. If the base is greater than one (e.g., (y = a \cdot b^x) with (b > 1)), the graph shows exponential growth, rising steeply as (x) increases. Conversely, if the base is between zero and one (e.g., (y = a \cdot b^x) with (0 < b < 1)), the graph depicts exponential decay, decreasing rapidly as (x) increases. In both cases, the graph approaches the x-axis asymptotically but never touches it.
An exponential graph typically exhibits a J-shaped curve. For exponential growth, the graph rises steeply as the value of the variable increases, while for exponential decay, it falls sharply and approaches zero but never quite reaches it. The key characteristic is that the rate of change accelerates or decelerates rapidly, depending on whether it is growth or decay.
The relationship between a logarithmic function and its graph is that the graph of a logarithmic function is the inverse of an exponential function. This means that the logarithmic function "undoes" the exponential function, and the graph of the logarithmic function reflects this inverse relationship.
False.
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.
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.
f(x)=2X-2
Point A. APEX
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.
point a.
The graph of an exponential function f(x) = bx approaches, but does not cross the x-axis. The x-axis is a horizontal asymptote.