The option (2) As x → ∞, y → ∞, and option (6) As x → –∞, y → –∞ are correct if the function f(x) = (x - 2)(x + 2)/(x + 1).
What is a function?
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function shown in the picture.
f(x) = (x - 2)(x + 2)/(x + 1)
The above function is a fractional function:
The denominator of the function cannot be zero:
x + 1 ≠ 0
x ≠ -1
From the graph of a function:
If x → ∞, y → ∞
If x → –∞, y → –∞
Thus, the option (2) As x → ∞, y → ∞, and option (6) As x → –∞, y → –∞ are correct if the function f(x) = (x - 2)(x + 2)/(x + 1).
Learn more about the function here:
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