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What will happen if the base of the exponential function is less than zero?
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Find a number less than 534000 and a number greater than 534000 that can be expressed in exponential form?
534,000 to the first exponent
Why do scientists prefer to express numbers in exponential notation and metric units?
Because exponential or scientific notation needs less digits for very large numbers and metric units are preferred because they are in multiples of 10 thus avoiding mistaken calculations.
What is true of an index it must be larger than a 100?
No, it does not. It the quantity being measured is less than it was in the base period, ten the index will be less than 100.No, it does not. It the quantity being measured is less than it was in the base period, ten the index will be less than 100.No, it does not. It the quantity being measured is less than it was in the base period, ten the index will be less than 100.No, it does not. It the quantity being measured is less than it was in the base period, ten the index will be less than 100.
What is heaviside function?
The Heaviside function is a discontinuous step function. It is 0 for all values less than some specific value. At and after that value, it takes the value 1. The Heaviside function can be used to represent an "Off-On" function.See link for more.The Heaviside function is a discontinuous step function. It is 0 for all values less than some specific value. At and after that value, it takes the value 1. The Heaviside function can be used to represent an "Off-On" function.See link for more.The Heaviside function is a discontinuous step function. It is 0 for all values less than some specific value. At and after that value, it takes the value 1. The Heaviside function can be used to represent an "Off-On" function.See link for more.The Heaviside function is a discontinuous step function. It is 0 for all values less than some specific value. At and after that value, it takes the value 1. The Heaviside function can be used to represent an "Off-On" function.See link for more.
Can the base period of an index number be less than 100?
no
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 determines whether the on a graph of an exponential functions increases or decreases?
An exponential function such as y=b^x increases as x goes to infinity for all values in the domain. That is, the function increases from left to right anywhere you look on the graph, as long as the base b is greater than 1. This is called a "Growth" function. However, the graph is decreasing as x goes to infinity if (a) the opposite value of the input is programmed into the function, as in y=b^-x, or if (b) the base is less than 1, as in y=(1/2)^x.
Why are the y-values of an exponential growth function either always greater than or less than the asymptote of the function?
The exponential function is always increasing or decreasing, so its derivative has a constant sign. However the function is solution of an equation of the kind y' = ay for some constant a. Therefore the function itself never changes sign and is MORE?
Can a be less than 0 in an exponential equation?
Yes it can.
Logistic and exponential growth?
A logistic growth will at first approximate an exponential growth - until it approximates the "saturation" value, when it begins to increase less quickly.
How do you tell if its exponential growth or decay?
Exponential growth has a growth/decay factor (or percentage decimal) greater than 1. Decay has a decay factor less than 1.
Advantages and disadvantages of logarithm?
Maps and navigational tools needed a huge number of calculations, including multiplications (or divisions) of numbers with several digits. In pre-computer days it was not easy to get people who could do this with a high degree of accuracy. Logarithms changed multiplication into addition and division into subtraction. These were operations that less skilled clerks were able to perform. This advantage has largely disappeared with the easy availability of calculators. The exponential function is one of the more important functions in advanced mathematics, physics and economics. The logarithm function is the inverse of the exponential function and so has very many applications.
Could there be a quadratic function that has an undefined axis of symmetry?
Yes and this will happen when the discriminant of a quadratic equation is less than zero meaning it has no real roots.
What is happen to the tigers?
they are getting less and less.
What will happen if y equals x plus 2 was changed to y equals x-1 what will the graph of the new function compare with the first one?
It would be less steep
Find a number less than 534000 and a number greater than 534000 that can be expressed in exponential form?
534,000 to the first exponent
Why do scientists prefer to express numbers in exponential notation and metric units?
Because exponential or scientific notation needs less digits for very large numbers and metric units are preferred because they are in multiples of 10 thus avoiding mistaken calculations.
