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There are lots of situations that are not modelled by exponential functions. A simple example is when something increases linearly. For example, assuming you have a fixed daily income, and save all of it, the amount of money you have is directly proportional to the number of days worked. No exponential function there, whatsoever.
There are lots of situations that are not modelled by exponential functions. A simple example is when something increases linearly. For example, assuming you have a fixed daily income, and save all of it, the amount of money you have is directly proportional to the number of days worked. No exponential function there, whatsoever.
There are lots of situations that are not modelled by exponential functions. A simple example is when something increases linearly. For example, assuming you have a fixed daily income, and save all of it, the amount of money you have is directly proportional to the number of days worked. No exponential function there, whatsoever.
There are lots of situations that are not modelled by exponential functions. A simple example is when something increases linearly. For example, assuming you have a fixed daily income, and save all of it, the amount of money you have is directly proportional to the number of days worked. No exponential function there, whatsoever.
There are lots of situations that are not modelled by exponential functions. A simple example is when something increases linearly. For example, assuming you have a fixed daily income, and save all of it, the amount of money you have is directly proportional to the number of days worked. No exponential function there, whatsoever.
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What non-exponential function is its own derivative?
The only non-exponential function that has this property would be a function that has the constant value of zero.
Which exponential equation is equivalent to the logarithmic equation log 200 equals a?
Log 200=a can be converted to an exponential equation if we know the base of the log. Let's assume it is 10 and you can change the answer accordingly if it is something else. 10^a=200 would be the exponential equation. For a base b, we would have b^a=200
How do you write 0.567 in exponential form?
You would write it as 5.67x10-1
How do you write 144 in exponential form?
12^2
How do you write 64 in exponential form?
The standard form would be 6.4*101 Interpreting the question in a particularly odd way, you could say 26 was a way to write 64 in exponential form.
What non-exponential function is its own derivative?
The only non-exponential function that has this property would be a function that has the constant value of zero.
Can a exponential function be a negative number?
Well -x^3/4 would be exponential
What is exponential function?
"The" exponential function is ex. A more general exponential function is any function of the form AeBx, for any non-xero constants "A" and "B". Alternately, Any function of the form CDx (for constants "C" and "D") would also be considered an exponential function. You can change from one form to the other.
When would you use a power function and when would you use a exponential function?
Both of these functions are found to represent physical events in nature. A common form of the power function would be the parabola (power of 2). One example would be calculating distance traveled of an object with constant acceleration. d = V0*t + (a/2)*t². The exponential function describes many things, such as exponential decay: like the voltage change in a capacitor & radioactive element decay. Also exponential growth (such as compound interest growth).
How does the exponential function differ from other functions?
Every function differs from every other function. Otherwise they would not be different functions!
An exponential growth function represents a quantity that has a constant halving time?
That would be an exponential decay curve or negative growth curve.
In exponential growth functions the base of the exponent must be greater than 1. How would the function change if the base of the exponent were 1 How would the function change if the base of the expon?
"The base of the exponent" doesn't make sense; base and exponent are two different parts of an exponential function. To be an exponential function, the variable must be in the exponent. Assuming the base is positive:* If the base is greater than 1, the function increases. * If the base is 1, you have a constant function. * If the base is less than 1, the function decreases.
Would the graph of an exponential decay function would have a curve upward along the x-axis towards negative infinity?
No, it would not.
What is exponential growth?
Exponential Growth is when the growth rate of a mathematical function is proportional to the function's current value. Exponential growth is when an animal or whatever object increasing at an increasing rate. For example 2, 4, 8, 16, 32, 64 etc. This is exponential growth because it is multiple by a consistent number, or two. The key part is that is it multipled not added which would be lineal growth.
Does every equation appear in y equals mx plus b form?
No, only equations that can be modeled as straight lines can appear in this form. For example, population growth would need at least an exponential graph i.e. y = ex and could not be even slightly modeled by the equation y = mx+b
What does the slope tell you about a function?
If you want to find the initial value of an exponential, which point would you find on the graph?
Real life situation modeled by a function?
Suppose x people are eating at a (really cheap) buffet which costs $2 a person. Then the cost y is y = 2x. With a $3 off coupon it becomes y = 2x-3 (however I'm sure that most restaurants would want a sufficient number of people to make profit). Many other real-life applications are modeled using other functions. The bell curve is among the most common form, as it is used in statistics and distributions. Population models use a logistics function, another type of transcendental function. The catenary curve occurs when a chain or power line hangs on two ends, and is modeled by the hyperbolic cosine function y = cosh(x).
