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Which fundamental functions have all real numbers as the domain?

The domains of polynomial, cosine, sine and exponential functions all contain the entire real number line. The domain of a rational function does not, since its denominator has zeros, and neither does the domain of a tangent function. (1/2)x = true (8/3)x = true


True or false. When you compose two functions. The domain and the range of the original functions does influence the domain and the range of their composition?

true


When you compose two functions the domain and range of the original functions does influence the domain and range of their composition. True or False?

True.


When you compose two functions the domain and range of the original functions does influence the domain and range of their composition true or false?

True.


When you compose two functions you must know the domain and range of the original functions to find the domain and range of their composition true or false?

true


When you compose two functions the domain and the range of the original function does influence the domain and the range of their composition?

The domain and range of the composite function depend on both of the functions that make it up.


When you compose two functions the domain and range of the original fuctions does influence the domain anda range of their composition?

true


Why is the base of 1 not used for an exponential function?

The base of 1 is not used for exponential functions because it does not produce varied growth rates. An exponential function with a base of 1 would result in a constant value (1), regardless of the exponent, failing to demonstrate the characteristic rapid growth or decay associated with true exponential behavior. Therefore, bases greater than 1 (for growth) or between 0 and 1 (for decay) are required to reflect the dynamic nature of exponential functions.


Is the superposition theorem applicable to non linear network why?

Yes, superposition theorem holds true in AC circuits as well. You must first convert an AC circuit to the phasor domain and the same rules apply.


The base of an exponential function can only be a positive number?

true


Why aren't all lines functions?

A function is a mapping between two sets, the domain and the range, such that each element in the domain is mapped to only one element in the range. This is true for all lines in a plane except those that are parallel to the y-axis. Thus, all non-perpendicular lines are functions but vertical lines are not functions.


Why aren't all lines considered functions?

A function is a mapping between two sets, the domain and the range, such that each element in the domain is mapped to only one element in the range. This is true for all lines in a plane except those that are parallel to the y-axis. Thus, all non-perpendicular lines are functions but vertical lines are not functions.