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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
A) 0 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

Sagot :

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

Ymin = 2*2 - 4 = 0
Ymax = 2*6 - 4 = 8

Hence the answer is A) <0 ; 8>

Answer:

Option A.

Step-by-step explanation:

The given function is  

[tex]f(x)=2x-4[/tex]

It is defined on the domain [tex]2\leq x\leq 6[/tex].

We need to find the range.

Range is the set of output values.

[tex]2\leq x\leq 6[/tex]

Multiply 2 on each side.

[tex]4\leq 2x\leq 12[/tex]

Subtract 4 from each side.

[tex]4-4\leq 2x-4\leq 12-4[/tex]

[tex]0\leq f(x)\leq 8[/tex]

[tex]0\leq y\leq 8[/tex]

The range of the function is [tex]0\leq y\leq 8[/tex].

Therefore, the correct option is A.

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