Question

fx = |x-2| . Find domain and range
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Answer 1

Explanation :-

Domain is the set of all input values for which the function is defined.

The given function f(x) = | x - 2 | can take input as any real number. The function is defined for all the real values.

Domain = R or (-∞, ∞)

Range is the set of all output values of a function.

The given function can give output only non negative numbers i.e. modulus operator makes all the negative values as positive. Output as negative numbers is impossible for the given function.

Range = [ 0 , ∞ )

Answer 2

Answer:

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

( − ∞ , ∞ )

Set-Builder Notation:

{ x | x ∈ R }

The range is the set of all valid  

values. Use the graph to find the range.

Interval Notation:

( − ∞ ,∞ )

Set-Builder Notation:

{ y | y ∈ R }

Determine the domain and range.

Domain:  ( − ∞ , ∞ ) , { x | x ∈ R }

Range:  ( − ∞ , ∞ ) , { y | y ∈ R }

Step-by-step explanation: