Question

kim traveled home and made several stops and detours along the way, as shown by the graph. select all the intervals on which the function is increasing

Explanation:

To determine when the function (distance from home over time) is increasing, we analyze the slope of each interval:

• Interval \( a \): As time increases, distance from home decreases (slope negative) → not increasing.
• Interval \( b \): Distance from home is constant (slope zero) → not increasing.
• Interval \( c \): Distance from home decreases (slope negative) → not increasing.
• Interval \( d \): Distance from home decreases (slope negative) → not increasing.
• Interval \( e \): As time increases, distance from home increases (slope positive) → increasing.
• Interval \( f \): As time increases, distance from home increases (slope positive) → increasing.

Answer:

e. Interval \( e \), f. Interval \( f \)