The graph represents a student's distance from a recreation center as a function of time during a bike ride. The distance decreases linearly as time progresses, starting at 10 miles when $t = 0$ minutes and reaching 0 miles at around 40 minutes.

The range of a function refers to the set of all possible output values (in this case, the distance from the recreation center).

Analyzing the graph:

• At the beginning of the ride (at time $t = 0$), the distance is 10 miles.
• At the end of the ride (around $t = 40$ minutes), the distance is 0 miles.

Thus, the range of the function is the set of distances from 0 miles to 10 miles, inclusive.

Answer:

The range of the function is all real numbers between 0 and 10, inclusive. This matches the statement:

• "All real numbers greater than or equal to 0 and less than or equal to 10."

Would you like further details or have any questions?

Here are 5 related questions to deepen your understanding:

1. What is the domain of this function?
2. How can you calculate the rate of change (slope) for this situation?
3. What would the equation of this linear function look like?
4. If the student biked for 50 minutes, what would the graph suggest about their distance?
5. How does the range of a function differ from its domain?

Tip: When analyzing graphs, always check both the endpoints and the behavior in between to determine the correct range and domain.