10. match the description of the end - behavior with the graph of the function it describes.\nend…

10. match the description of the end - behavior with the graph of the function it describes.\nend behavior\nas x increases, y increases\nas x decreases, y decreases\nas x increases, y increases\nas x decreases, y increases\nas x increases, y decreases\nas x decreases, y decreases\nas x increases, y decreases\nas x decreases, y increases
Answer
Explanation:
Step1: Analyze first end - behavior
For the end - behavior "As x increases, y increases; As x decreases, y decreases", this is a positive - slope linear function. The second graph (a straight line with a positive slope) matches this.
Step2: Analyze second end - behavior
For "As x increases, y increases; As x decreases, y increases", this is an even - degree polynomial with a positive leading coefficient. The first graph (a parabola opening upwards) matches this.
Step3: Analyze third end - behavior
For "As x increases, y decreases; As x decreases, y decreases", this is a negative - slope linear function. None of the given graphs exactly match this simple linear negative - slope behavior in a pure form among the provided ones. But if we consider overall trends, it doesn't match any of the given ones well.
Step4: Analyze fourth end - behavior
For "As x increases, y decreases; As x decreases, y increases", this is an even - degree polynomial with a negative leading coefficient. The fourth graph (a curve opening downwards in a general sense) matches this.
Answer:
- Second graph
- First graph
- No match
- Fourth graph