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Let f be a function such that f(x)=2x-4 is defined on the domain.2 is less than or equal to x and x is lss than or equal to 6. The range of the function is

A0 is less thanor equal to and y is less than or equal to 8

B)0 is less than or equal to y and is less than infinity

C)2 is less than or equal to y andy is less than or equal to 6

D)negative infinity is less than y and y is less than infinity

Verified Answer :

X  is <0 ; 6>
Y is ?
A > 0 and function is continuous and linear

Ymin = 22 - 4 = 0
Ymax = 26 - 4 = 8

Hence the answer is A) <0 ; 8>

Answer:

Option A.

Step-by-step explanation:

The given function is  

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

It is defined on the domain \(2\leq x\leq 6\).

We need to find the range.

Range is the set of output values.

\(2\leq x\leq 6\)

Multiply 2 on each side.

\(4\leq 2x\leq 12\)

Subtract 4 from each side.

\(4-4\leq 2x-4\leq 12-4\)

\(0\leq f(x)\leq 8\)

\(0\leq y\leq 8\)

The range of the function is \(0\leq y\leq 8\).

Therefore, the correct option is A.

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