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How does the graph of an exponential function differ from the graph of a linear function and how is the rate of change different?
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.
How does the exponential function differ from other functions?
Every function differs from every other function. Otherwise they would not be different functions!
How does the slope differ from average rate of change?
They are the same for a straight line but for any curve, the slope will change from point to point whereas the average rate of change (between two points) will remain the same.
How are graphs of exponential growth and linear growth different?
Graphs of exponential growth and linear growth differ primarily in their rate of increase. In linear growth, values increase by a constant amount over equal intervals, resulting in a straight line. In contrast, exponential growth shows values increasing by a percentage of the current amount, leading to a curve that rises steeply as time progresses. This means that while linear growth remains constant, exponential growth accelerates over time, showcasing a dramatic increase.
How does a function differ from an equation?
A function is a rule to calculate a variable, based on one or more other variables. It may be written as an equation, but unlike a generic equation, in a function, for every value of the input variables, it may ONLY have ONE result.
How does the graph of an exponential function differ from the graph of a linear function and how is the rate of change different?
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.
How does an exponential function differ from a power function graphically?
An exponential function of the form a^x eventually becomes greater than the similar power function x^a where a is some constant greater than 1.
How does the exponential function differ from other functions?
Every function differs from every other function. Otherwise they would not be different functions!
How does logistic model of population growth differ from exponential model?
follow the society of light
What is cubic growth and how does it differ from exponential growth?
Cubic Growth is x^a, a being some constant, while exponential growth is a^x. Exponential growth ends up growing MUCH faster than cubic growth.
How does the slope differ from average rate of change?
They are the same for a straight line but for any curve, the slope will change from point to point whereas the average rate of change (between two points) will remain the same.
How does the shape of the normal distribution differ from the shapes of the uniform and exponential distributions?
the normal distribution is a bell shape and expeonential is rectangular
How does the function of kidneys in saltwater fish differ from their function in freshwater fish?
caca doodle doo
Why do the function of cell differ mitosis?
the renetic genes are similar
Is a chemical change differ from a physical?
yes
How does an autosum formula differ from an average formula?
An autosum formula calculates the total sum of a range of cells, while an average formula calculates the average value of a range of cells. The autosum function adds up the numbers in the selected range and can be applied to any numerical data, whereas the average function calculates the arithmetic mean of the numbers in the selected range.
How are graphs of exponential growth and linear growth different?
Graphs of exponential growth and linear growth differ primarily in their rate of increase. In linear growth, values increase by a constant amount over equal intervals, resulting in a straight line. In contrast, exponential growth shows values increasing by a percentage of the current amount, leading to a curve that rises steeply as time progresses. This means that while linear growth remains constant, exponential growth accelerates over time, showcasing a dramatic increase.
