Which statement describes why x equals negative 2 is an asymptote for the graphed function?
(1 point)
Responses
f left-parenthesis x right-parenthesis right arrow negative 2 as x right arrow infinity
Image with alt text: f left-parenthesis x right-parenthesis right arrow negative 2 as x right arrow infinity
f left-parenthesis x right-parenthesis right arrow infinity as x right arrow negative 2
Image with alt text: f left-parenthesis x right-parenthesis right arrow infinity as x right arrow negative 2
f left-parenthesis x right-parenthesis right arrow negative infinity as x right arrow negative 2
Image with alt text: f left-parenthesis x right-parenthesis right arrow negative infinity as x right arrow negative 2
f left-parenthesis x right-parenthesis right arrow negative 2 as x right arrow negative infinity
1 answer
Based on the descriptions of the responses provided, the correct statement that describes why \( x = -2 \) is an asymptote for the graphed function is:
f(x) approaches infinity as x approaches -2.
This indicates that there is a vertical asymptote at \( x = -2 \), meaning the graph of the function heads towards positive infinity as it gets closer to \( x = -2 \).
So the appropriate choice is:
f left-parenthesis x right-parenthesis right arrow infinity as x right arrow negative 2.
