Question

Consider the modulus function () = ||. (a) Find the domain and range of the function () = ||. (b) Draw the graph of the function () = ||.​

Answer 1

SOLUTION

GIVEN

Consider the modulus function f(x) = | x |

TO DETERMINE

(a) Find the domain and range of the function f(x) = | x |.

(b) Draw the graph of the function f(x) = | x |.

EVALUATION

Here the given function is f(x) = | x |

(a) The function is well defined for every real values of x

So Domain of f(x) = Set of all real numbers = R

Now clearly | x | ≥ 0 for every x ∈ R

So f(x) ≥ 0 for every x ∈ R

Range of f(x) = { f(x) : f(x) ≥ 0 for every x ∈ R }

(b) Graph : Graph of the function is referred to the attachment

━━━━━━━━━━━━━━━━

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