Question

What is the range of the function graphed below? A bidirectional arrow rises steeply through (negative 2, negative 8), (negative 1 point 5, negative 4), (negative 1, 0), (0, 2) and extends linearly through (2, 2), (3, 2), (4, 2), (5, 2), (6, 2) and (8, 2) on the x y coordinate plane. A. B. C. D.

Answer 1

Answer:

  A.  -∞ < y < 2

Step-by-step explanation:

The range is the vertical extent of the graph.

Lower limit

The arrow pointing down tells you the graph extends toward -∞.

Upper limit

The arrow pointing right suggests that y=2 is a horizontal asymptote. A graph will approach, but never cross, an asymptote. Thus, we can conclude y < 2.

Range

The range is the set of values that lie between the limits:

  -∞ < y < 2