Question

what is the range of the function? height (meters) time (seconds)

Explanation:

Step1: Identify the minimum y - value

The graph starts at \( y = 0 \) (from the bottom - most point on the y - axis related to the function's graph). By observing the vertical extent of the graph, the lowest point of the function (the minimum value of the dependent variable, which is height here, corresponding to the range) is at \( y = 0 \).

Step2: Identify the maximum y - value

Looking at the graph, the highest point of the function (the maximum value of the height) is at \( y = 10 \) (from the top - most point on the y - axis related to the function's graph).

Step3: Determine the range

The range of a function is the set of all possible output values (y - values). Since the minimum y - value is 0 and the maximum y - value is 10, the range of the function is \( 0\leq y\leq10 \).

Answer:

\( 0\leq y\leq10 \)