Question

f(x) = (x - 2)(x + 1)
x + 1
6 Of
Which statements describe the end behavior of the graph of the function shown? Check all that apply.
As X - 00, y - 1.
As X - 00, y - 00
As x - 00, y - -0.
As x = -00, y - 1.
As X - -00, Y - 00.
As X - -00, y = -0.

Answer 1

9514 1404 393

Answer:

  B, F

Step-by-step explanation:

The factors (x+1) cancel, leaving the function ...

  f(x) = x -2

This is an odd-degree function with a positive leading coefficient, so its graph has the general shape / (up to the right). The end behavior is ...

• as x → ∞, y → ∞
• as x → -∞, y → -∞

_____

Additional comment

The graph of this function is a straight line with a slope of 1 and a y-intercept of -2. It has a hole (removable discontinuity) at (-1, -3).