Question
Drag each description to the correct location on the table.
Examine the equation to determine if the descriptions listed are key features of the function or not.
increasingdecreasingAs x approaches ∞,
y approaches ∞.As x approaches -∞,
y approaches ∞.As x approaches -∞,
y approaches -∞.As x approaches -∞,
y approaches a constant.As x approaches ∞,
y approaches a constant.
Examine the equation to determine if the descriptions listed are key features of the function or not.
increasingdecreasingAs x approaches ∞,
y approaches ∞.As x approaches -∞,
y approaches ∞.As x approaches -∞,
y approaches -∞.As x approaches -∞,
y approaches a constant.As x approaches ∞,
y approaches a constant.
Answers
GPT-4o mini
To correctly classify the descriptions based on typical behavior of functions, we can use the asymptotic behavior and the increasing or decreasing nature of the function:
**Key Features of the Function:**
- As x approaches ∞, y approaches ∞.
- As x approaches -∞, y approaches -∞.
**Not Key Features of the Function:**
- As x approaches -∞, y approaches ∞.
- As x approaches -∞, y approaches a constant.
- As x approaches ∞, y approaches a constant.
This classification is based on common function properties, but specifics may vary depending on the function you are analyzing (like polynomial, rational, exponential, etc.), so please ensure it correlates with the function in question.
**Key Features of the Function:**
- As x approaches ∞, y approaches ∞.
- As x approaches -∞, y approaches -∞.
**Not Key Features of the Function:**
- As x approaches -∞, y approaches ∞.
- As x approaches -∞, y approaches a constant.
- As x approaches ∞, y approaches a constant.
This classification is based on common function properties, but specifics may vary depending on the function you are analyzing (like polynomial, rational, exponential, etc.), so please ensure it correlates with the function in question.