The main characteristic is that the more it rises, the more quickly it rises. The slope is proportional to the height of the graph. So the growth quickly gets out of hand.
you should include the definition of logarithms how to solve logarithmic equations how they are used in applications of math and everyday life how to graph logarithms explain how logarithms are the inverses of exponential how to graph exponentials importance of exponential functions(growth and decay ex.) pandemics, population)
If the graph, from left to right, is going upwards, with an increasing gradient (slope) then it is undergoing growth. If it is going downwards, with a decreasing gradient (slope) then it is undergoing decay.
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.
The answer depends on what is plotted on the graph and what is happening with the acceleration then.
Point A. APEX
Exponential Decay. hope this will help :)
False.
The main characteristic is that the more it rises, the more quickly it rises. The slope is proportional to the height of the graph. So the growth quickly gets out of hand.
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.
you should include the definition of logarithms how to solve logarithmic equations how they are used in applications of math and everyday life how to graph logarithms explain how logarithms are the inverses of exponential how to graph exponentials importance of exponential functions(growth and decay ex.) pandemics, population)
The graph of a logistic population growth is shaped like the letter "S" or an elongated "S". It starts with exponential growth, then slows down as it approaches the carrying capacity before eventually leveling off.
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.
point C
If the graph, from left to right, is going upwards, with an increasing gradient (slope) then it is undergoing growth. If it is going downwards, with a decreasing gradient (slope) then it is undergoing decay.
It can be, but it need no be.
The rate of population increase stays constant.