Respuesta :
Answer:
Edge 2020
1. {x |x is all real numbers}
2. {y |y is greater than or equal to zero}
3. Increasing
4. Decreasing
Step-by-step explanation:
The domain of the above function is (-∞, ∞).
The range of given absolute value function is (0, ∞)
The graph of f(x) is increasing over the interval (0, ∞).
And the graph of f(x) is decreasing over the interval (-∞, 0).
What is domain?
The domain of a function is the set of input or argument values for which the function is real and defined.
What is range?
The set of values of the dependent variable for which a function is defined is called range.
What is absolute value function?
An absolute value function is a function that contains an algebraic expression within absolute value symbols.
When a function is called increasing?
A function is increasing over an open interval provided the y -coordinate of the points in the interval get larger, or equivalently the graph gets higher as it moves from left to right over the interval.
When a function is called decreasing?
A function is decreasing over an open interval provided the y - coordinates of the points in the interval gets smaller, or equivalently the graph gets lower as it moves from left to light over the interval.
According to the given question.
We have a absolute value function
[tex]f(x) = |x|[/tex]
Whatever the values for x we input, all these values will be the domain of the above given absolute value function.
Therefore, the domain of the above function is (-∞, ∞).
Whatever the values we get after substituting the values for x i.e. from -∞ to ∞ , those values will be our range.
So, when we substitute any values for x from -∞ to ∞ in the given function we get the values of f(x) from 0 to ∞.
Hence, the range of given absolute value function is (0, ∞).
The graph of f(x) is increasing over the period (0, ∞).
And the graph of f(x) is decreasing over the period (-∞, 0).
Find out more information range, domain, interval of increasing, and interval of decreasing of absolute value function here:
https://brainly.com/question/12980508
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