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You really can’t simply it but if u use disruptive property it would be -x - -8
Remember x is x and f(x) is same thing as y.
f(5) = 4
It is same thing as saying, when x = 5, y aka f(x) should be 4. Aka the point (5,4)
Let’s look at D, if x =5 then f(x)=5? No, it should equal 4. So this is wrong. It is also not linear. So NOT D
Lets look at C, if x =5 then
1/5(5)+3 =
5/5 + 3 =
1+3 =
4
So, f(x) aka y = 4. Is this correct? Yes when x =5, y indeed should equal 4, but it is not linear. So NOT C
Lets look at B, if x=5 then,
2^5 -28 =
32 - 28 =
4
So, f(x) aka y = 4. Is this correct? Yes when x =5, y indeed should equal 4, AND it is linear SO THE ANSWER IS B
Check A too, it gets y=14 so thats wrong as it is not 4.
Have you tried doing 6 in x 4 in, if not try that
ANSWER
The function that the given graph corresponds to is

EXPLANATION
The given graph in the attachment has x-intercepts at

These are the solutions of the polynomial function represented by the given graph.
We can write all these solutions as factors to obtain,

The product of all these factors gives us the function whose graph was drawn.
This implies that,

Therefore the correct answer is option C.