f(x)=(x/|x-3|)+1; domain is all real numbers except 3.
f(x)=(x/(|x-3|+1)); domain is all real numbers.
2
No, there can only be one absolute maximum for a function over a given domain. The absolute maximum is defined as the largest value that the function takes on that domain, meaning no other value can be greater. However, a function can have multiple local maxima, which are points that are higher than their immediate surroundings but not necessarily the highest overall.
An absolute maximum refers to the highest value of a function over its entire domain. It occurs at a specific point where the function reaches its greatest output compared to all other points in that domain. This value is distinct from relative maxima, which are the highest points in a localized area but not necessarily the highest overall. Identifying the absolute maximum is important in optimization problems and calculus.
10
The absolute value of (1 over 7) is 1/7 = 0.142857142857142857.... { the 142857 repeats}
2
No, there can only be one absolute maximum for a function over a given domain. The absolute maximum is defined as the largest value that the function takes on that domain, meaning no other value can be greater. However, a function can have multiple local maxima, which are points that are higher than their immediate surroundings but not necessarily the highest overall.
An absolute maximum refers to the highest value of a function over its entire domain. It occurs at a specific point where the function reaches its greatest output compared to all other points in that domain. This value is distinct from relative maxima, which are the highest points in a localized area but not necessarily the highest overall. Identifying the absolute maximum is important in optimization problems and calculus.
The absolute value is 5/8
the absolute value of a over b is not the invers. it is a posative number of a over b. when you see the absolute value, just change it to a posative number. if it is posative, you have your answer.
Absolute value of -7/8 is 7/8.
10
The absolute value of (1 over 7) is 1/7 = 0.142857142857142857.... { the 142857 repeats}
A relative minimum is a point where a function's value is lower than that of its immediate neighbors, but it is not necessarily the lowest value over the entire domain. An absolute minimum, on the other hand, is the lowest value of the function across its entire range. Therefore, while a relative minimum can be an absolute minimum if it is the lowest point overall, they are not the same and one does not imply the other.
Absolute value of -9/14 is 9/14.
Absolute value of -5/9 is 5/9.
A piecewise function is a function defined by two or more equations. A step functions is a piecewise function defined by a constant value over each part of its domain. You can write absolute value functions and step functions as piecewise functions so they're easier to graph.