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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
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
What would be the range of the function sqrt of 1 divded by the sum of x and 2?
y is greater than 0
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
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.
What is a local minimum point?
A function has a "local minimum point" at a point p where there exists at least one positive number e having the property that the value v of the function for any point q for which the absolute value of q - p is greater than 0 but not greater than e, the value of the function at q is greater than or equal to the value at p.
