Answer:
The x‐intercept is x = −5, and the graph approaches a vertical asymptote at x = −6
Explanation:
From inspection of the graph:
x-intercept is where the curve intercepts the x-axis → x = -5
y-intercept is where the curve intercepts the y-axis → y ≈ 0.75
An asymptote is a horizontal or vertical line which the curve gets infinitely close to, but never touches.
From the portion of the curve in the graph, it appears that the curve gets very close to but never touches:
- the vertical line x = -6
- the horizontal line x = 1
(However, without seeing a large portion of the graph, we cannot be sure, particularly for the horizontal asymptote).
Therefore, from the given solution options:
The x‐intercept is x = −5, and the graph approaches a vertical asymptote at x = −6