A function assigns the values. The correct option is A.
A function assigns the value of each element of one set to the other specific element of another set.
For the given function f(x)=(4x-7)/(8x+8), the graph can be drawn as shown below. Therefore, as the x approaches negative infinity the value of f(x) approaches 0.5, while as the value of x approaches positive infinity the value of f(x) approaches 0.5.
Hence, the correct option is A.
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