Question
Use the graph below to describe the end behavior and intervals of increase/decrease for the quadratic function. (6 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. A) End Behavior: as x approaches −∞, f(x) approaches Response area as x approaches ∞, f(x) approaches Response area B) Intervals of Increase/Decrease: The quadratic function is increasing from Response area to Response area, and is decreasing from Response area to Response area. The option "\(-\infty\)" (7 of 7) has been selected. Press tab to choose a response area, and spacebar to insert it. Press escape to cancel.
Answers
GPT-4o mini
To accurately describe the end behavior and intervals of increase/decrease for the quadratic function based on the general properties of quadratics, we can fill in the responses as follows:
A) End Behavior: as x approaches −∞, f(x) approaches **∞**; as x approaches ∞, f(x) approaches **∞**.
B) Intervals of Increase/Decrease: The quadratic function is increasing from **x = vertex** to **∞**, and is decreasing from **−∞** to **x = vertex**.
Note: The specific x-coordinate of the vertex should be determined from the graph you mentioned, but it's typically the lowest point for a quadratic that opens upwards and the highest for one that opens downwards.
A) End Behavior: as x approaches −∞, f(x) approaches **∞**; as x approaches ∞, f(x) approaches **∞**.
B) Intervals of Increase/Decrease: The quadratic function is increasing from **x = vertex** to **∞**, and is decreasing from **−∞** to **x = vertex**.
Note: The specific x-coordinate of the vertex should be determined from the graph you mentioned, but it's typically the lowest point for a quadratic that opens upwards and the highest for one that opens downwards.