0
Still curious? Ask our experts.
Chat with our AI personalities
Ezra
Blake
BeauAdd your answer:
Earn +20 pts
Is a piecewise function one to one?
A piecewise function can be one-to-one, but it is not guaranteed to be. A function is considered one-to-one if each element in the domain maps to a unique element in the range. In the case of a piecewise function, it depends on the specific segments and how they are defined. If each segment of the piecewise function passes the horizontal line test, then the function is one-to-one.
What is X2-4 divided by x2 plus 3x plus 2 continuous or discontinuous?
The numerator function x2 - 4 and the denominator function x2 + 3x + 2 are both continuous functions of x for the entire x-axis. However, the quotient of these two functions is not continuous when the denominator function has the value of 0, because division by zero is not defined. The denominator function is 0 when x = -1 or -2. Therefore, the quotient function is not fully continuous over any intervals that include -1 or -2, but it is "piecewise continuous" over other intervals of the x-axis.
Which function has a domain of all real numbers except x equals 4.1?
That's easy. Take any function that is defined on R except 0, then shift it 4.1 units to the right. To do a shift operation of a units, it is simply taking f(x - a) instead of f(x) So in this case, take f(x) = 1/x, a is 4.1 f(x - 4.1) = 1/ (x - 4.1) is exactly what you want. Also, there are other piecewise functions: f(x) = 1 if x < 4.1 and 0 if x > 4.1 not defined when x = 4.1
Geta is a math function or string function?
GetA is a math function and not a string function.
If an inverse function undoes the work of the original function the original function's becomes the inverse function's domain?
The original function's RANGE becomes the inverse function's domain.
