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Q: Why does b have to be greater than 0 in an exponential function?
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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.


What characteristics of the graph of a function by using the concept of differentiation first and second derivatives?

If the first derivative of a function is greater than 0 on an interval, then the function is increasing on that interval. If the first derivative of a function is less than 0 on an interval, then the function is decreasing on that interval. If the second derivative of a function is greater than 0 on an interval, then the function is concave up on that interval. If the second derivative of a function is less than 0 on an interval, then the function is concave down on that interval.


What could be an example of a function with a domain and a range where a is greater than 0 and b is greater than 0?

f(x) = (x)^ (1/2) (i.e. the square root of x)


Can a be less than 0 in an exponential equation?

Yes it can.


What is this type of function called y equals mx to the power of -b?

Assuming that b > 0, it is an inverse power function or an inverse exponential function.


Is 1.2 greater than or less than 0?

Greater than 0


How do you find out if a problem is linear or exponential?

You find out if a problem is linear or exponential by looking at the degree or the highest power; if the degree or the highest power is 1 or 0, the equation is linear. But if the degree is higher than 1 or lower than 0, the equation is exponential.


What you say if a function whose derivative and antiderivative is same?

That means that either the function is equal to zero everywhere (y = 0), or it is the exponential function (y = ex).


Is 0.9 greater than 0?

Yes....0.9 is greater than 0. 0.9 > 0


Is 0 greater than -22?

Yes 0 is greater than -22


What would be the range of the function sqrt of 1 divded by the sum of x and 2?

y is greater than 0


What happens to the graph of an exponential function if b is a function between 0 and 1?

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.