Answer :
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>
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.