Question

FIND THE DOMAIN AND RANGE OF: 2-|x-4|​

Answer 1

Answer:

FIND THE DOMAIN AND RANGE OF: 2-|x-4|

Step-by-step explanation:

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Answer 2

Answer:

Domain : - ∞ < x < + ∞

Range :  - ∞ < f(x) ≤ 2

Step-by-step explanation:

The given function is f(x) = 2 - |x-4|.

Now, the domain of the function is all real numbers because, for any real value of x, the value of f(x) exists.

So, - ∞ < x < + ∞

Now, |x-4| is an absolute value function. So, |x-4| ≥ 0, because an absolute value function always gives a positive value.

So, - |x-4| ≤ 0 and hence, 2 - |x-4| ≤ 2

Therefore, the range of the function will be - ∞ < f(x) ≤ 2. (Answer)

Step-by-step explanation:

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