Question

range of fx -|2x-4|​

Answer 1

Answer:

Step-by-step explanation:

f(x) = -|2x-4|

f(5) = -|10-4|

= -6 oor 6

Answers will always vary depending on what number used as the value of x

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Answer 2

Answer:

The range of given function is All real values.

Step-by-step explanation:

Let y = -|2x-4|

Here two cases arise,

Case 1) If the value of 2x-4 is positive.

So, the modulus will open with a positive sign

Therefore, y = -(2x-4)

=> y = -2x + 4

=> x = (4-y)/2

For x to be real, y can have any real value

so, y € R ...... ( € refers to belongs to)

Case 2) If the value of 2x-4 is negative.

So, the modulus I. this case will open with a negative sign.

Therefore, y = -[-(2x-4)]

=> y = 2x-4

=> x = (y+4)/2

For x to be real, y may have any real value

so, y € R ....... (€ refers to belongs to)

So, from the above two cases we conclude that the range of given function is All real numbers.

Please mark it as brainliest.