Question

The graph of a transformed exponential function has the following characteristics: horizontal asymptote at y = 3 passes through the points (1, 4) and (-2, 19) If the graph was reflected over the y-axis, which would correctly describe the right hand end behavior? A) As x → ∞, y → 0 B) As x → ∞, y → 1 C) As x → ∞, y → 3 D) As x → ∞, y → ∞

Answer 1

C) is correct; as x approaches infinity, y approaches 3.

Reflections across the y-axis do not change horizontal asymptotes or y-intercepts. To reflect across the y-axis we negate x in the function; this will make the function go the opposite direction (increase if it was decreasing, or vice versa).

Answer 2

The answer is D) As x → ∞, y → ∞. This is on usatestprep and they say that this is the answer.

Explanation: