1.7.3 quiz: writing rational functions according to the graph of h(w) below, what happens when w gets very…

1.7.3 quiz: writing rational functions according to the graph of h(w) below, what happens when w gets very large? a. h(w) gets very small. b. h(w) moves left. c. h(w) approaches a vertical asymptote. d. h(w) equals zero.

1.7.3 quiz: writing rational functions according to the graph of h(w) below, what happens when w gets very large? a. h(w) gets very small. b. h(w) moves left. c. h(w) approaches a vertical asymptote. d. h(w) equals zero.

Answer

Explanation:

Step1: Analyze the graph trend

As (w) increases (moves to the right on the x - axis), the value of (H(w)) decreases.

Step2: Evaluate each option

  • Option A: As (w) gets very large, the value of (H(w)) gets very small which is consistent with the graph trend.
  • Option B: (H(w)) is a function value (on the y - axis), it doesn't move left. This option is incorrect.
  • Option C: There is no indication of a vertical asymptote as (w) gets large. The graph is decreasing as (w) increases. This option is incorrect.
  • Option D: (H(w)) approaches a non - zero small value but doesn't equal zero as (w) gets very large. This option is incorrect.

Answer:

A. (H(w)) gets very small.