Question

do you know how? 4. what does the graph of the function at each interval represent? graph with y-axis labeled height (ft), x-axis labeled time (s), a curve with two intervals (1) and (2)

Explanation:

Step1: Analyze Interval (1)

The graph in interval (1) shows height (y - axis) increasing with time (x - axis). This represents the object (e.g., a projectile) moving upward, so its height is increasing as time passes. The slope here is positive, indicating a rising function with respect to time.

Step2: Analyze Interval (2)

In interval (2), the graph shows height (y - axis) decreasing as time (x - axis) increases. This represents the object falling back down, so its height is decreasing as time passes. The slope here is negative, indicating a falling function with respect to time.

Answer:

• Interval (1): The graph represents the object (e.g., a projectile) rising (height increasing) over time.
• Interval (2): The graph represents the object falling (height decreasing) over time.

(Common real - world interpretation: This is a typical graph of the height of a projectile (like a ball thrown in the air) over time. Interval (1) is the ascent (moving up), interval (2) is the descent (moving down) until it hits the ground (height = 0 at the x - axis).)