Question
Use the graph to answer the question.
Describe the end behavior of the graphed function.
(1 point)
Responses
f left-parenthesis x right-parenthesis right arrow 2 as x right arrow negative infinity and f left-parenthesis x right-parenthesis right arrow infinity as x right arrow infinity
Image with alt text: f left-parenthesis x right-parenthesis right arrow 2 as Image with alt text: x right arrow negative infinity and Image with alt text: f left-parenthesis x right-parenthesis right arrow infinity as Image with alt text: x right arrow infinity
f left-parenthesis x right-parenthesis right arrow negative infinity as x right arrow 2 and f left-parenthesis x right-parenthesis right arrow infinity as x right arrow infinity
Image with alt text: f left-parenthesis x right-parenthesis right arrow negative infinity as Image with alt text: x right arrow 2 and Image with alt text: f left-parenthesis x right-parenthesis right arrow infinity as Image with alt text: x right arrow infinity
f left-parenthesis x right-parenthesis right arrow 2 as x right arrow negative infinity and f left-parenthesis x right-parenthesis right arrow infinity as x right arrow 4
Image with alt text: f left-parenthesis x right-parenthesis right arrow 2 as Image with alt text: x right arrow negative infinity and Image with alt text: f left-parenthesis x right-parenthesis right arrow infinity as Image with alt text: x right arrow 4
f left-parenthesis x right-parenthesis right arrow negative infinity as x right arrow negative infinity and f left-parenthesis x right-parenthesis right arrow infinity as x right arrow infinity
Image with alt text: f left-parenthesis x right-parenthesis right arrow negative infinity as Image with alt text: x right arrow negative infinity and Image with alt text: f left-parenthesis x right-parenthesis right arrow infinity as Image with alt text: x right arrow infinity
1 answer
The correct response that describes the end behavior of the graphed exponential function is:
f(x) → 2 as x → -∞ and f(x) → ∞ as x → ∞
This indicates that as \( x \) approaches negative infinity, the function approaches a value of 2, and as \( x \) approaches positive infinity, the function increases without bound towards infinity.
