Zero to any non-zero real number power is equal to zero. Unless a function evaluates to 'zero to the infinity power' then you must take limits to determine what the limit evaluates to. Zero to the zero power is undefined, but you can take a limit of the underlying function to determine if the limit exists.
The zero of a f (function) is an x-value that corresponds to where the y-value is zero on the functions graph or the x-intercepts. Functions can have multiple zeroes or no real zeroes at all, depending on the equation.
The "zero" or "root" of such a function - or of any other function - is the answer to the question: "What value must the variable 'x' have, to let the function have a value of zero?" Or any other variable, depending how the function is defined.
The function is not defined at any values at which the denominator is zero.
The logarithmic function is not defined for zero or negative numbers. Logarithms are the inverse of the exponential function for a positive base. Any exponent of a positive base must be positive. So the range of any exponential function is the positive real line. Consequently the domain of the the inverse function - the logarithm - is the positive real line. That is, logarithms are not defined for zero or negative numbers. (Wait until you get to complex analysis, though!)
A real life example for the absolute value function is a football field. Even though the center of the field is labeled zero, you wouldn't say you ran negative feet if you went backwards..
Zero to any non-zero real number power is equal to zero. Unless a function evaluates to 'zero to the infinity power' then you must take limits to determine what the limit evaluates to. Zero to the zero power is undefined, but you can take a limit of the underlying function to determine if the limit exists.
The zero of a f (function) is an x-value that corresponds to where the y-value is zero on the functions graph or the x-intercepts. Functions can have multiple zeroes or no real zeroes at all, depending on the equation.
Hector Zeroni.
The domain of a rational function is the whole of the real numbers except those points where the denominator of the rational function, simplified if possible, is zero.
Any function of the form aebx - for non-zero a and b - is exponential. For examples, just replace "a" and "b" with any non-zero number. Equivalently, any function of the form cdx - once again, for non-zero c and d - is exponential. Here, too, you can replace c and d with any number to get examples.
nope she has zero friends
A zero of a function is a point at which the value of the function is zero. If you graph the function, it is a point at which the graph touches the x-axis.
If the range is the real numbers, it has a lower bound (zero) but no upper bound.
The zero of a f (function) is an x-value that corresponds to where the y-value is zero on the functions graph or the x-intercepts. Functions can have multiple zeroes or no real zeroes at all, depending on the equation.
Convention says that they are quoted as being equal to zero. It makes life FAR easier that way.
A rational function is the ratio of two polynomial functions. The function that is the denominator will have roots (or zeros) in the complex field and may have real roots. If it has real roots, then evaluating the rational function at such points will require division by zero. This is not defined. Since polynomials are continuous functions, their value will be close to zero near their roots. So, near a zero, the rational function will entail division by a very small quantity and this will result in the asymptotic behaviour.