Question

module 1 quiz score: 78.44/170 answered: 19/34 question 20 write the equation of the asymptote(s) for the function graphed below. enter \dne\ in the answer blank if an asymptote does not exist. vertical asymptote (lower x - value): vertical asymptote (higher x - value): horizontal asymptote: check answer

Explanation:

Step1: Identify vertical asymptotes

Vertical asymptotes occur where the function approaches infinity or negative - infinity. From the graph, we can see that the function has two vertical asymptotes. By observing the x - values where the graph shoots up or down, we find the lower x - value of the vertical asymptote and the higher x - value.

Step2: Identify horizontal asymptote

A horizontal asymptote is a y - value that the function approaches as x approaches positive or negative infinity. By looking at the behavior of the graph as x gets very large (positively or negatively), we can determine the horizontal asymptote.

Answer:

Vertical Asymptote (lower x - value): [Value from graph]
Vertical Asymptote (higher x - value): [Value from graph]
Horizontal Asymptote: [Value from graph]

(Note: Since the actual graph values are not clear from the provided image, you would need to substitute the correct x and y values obtained from the graph for the blanks above.)