The characteristics of the graph of the function f(x) = (x + 1)2 + 2 will be:
It should be noted that this is a polynomial functions that's called a quadratic equation. The domain is all the real numbers. It should be noted that the domain of any polynomial are the set of real numbers.
The y intercept will be:
= 0 + 1² + 2
= 3
Therefore, the characteristics of the graph of the function f(x) = (x + 1)2 + 2 will be that the domain is all real numbers and the y intercept is 3.
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