Questions: Which equation represents the vertical asymptote of the graph? (1 point)
x=0
y=0
Transcript text: Which equation represents the vertical asymptote of the graph? (1 point)
$x=0$
$y=0$
Solution
Solution Steps
Step 1: Identify the Vertical Asymptote
A vertical asymptote occurs where the function approaches infinity or negative infinity as the input approaches a certain value. In the given graph, the function approaches infinity as the x-values approach 10 from the left and negative infinity as the x-values approach 10 from the right.
Step 2: Determine the Equation of the Vertical Asymptote
The vertical asymptote is a vertical line where the function is undefined. From the graph, it is clear that this line is at \( x = 10 \).
Step 3: Match the Equation with the Given Options
The given options are:
\( x = 0 \)
\( y = 0 \)
Since the vertical asymptote is at \( x = 10 \), neither of the given options is correct. The correct equation for the vertical asymptote is \( x = 10 \).
Final Answer
The correct equation for the vertical asymptote is \( x = 10 \), but it is not listed among the given options.