Question

1. which graph best represents a function with a range of all real numbers greater than or equal to 5?

options with graphs labeled f, g, h, i

1. a city maintenance worker is filling up a 15,000 gallon community swimming pool. the graph shows the remaining volume to fill the pool as a linear function of x, the time in hours. which answer choice best describes the domain and range of the function for this situation?

filling a swimming pool

Explanation:

Question 2

Step 1: Recall the definition of range

The range of a function is the set of all possible output values (y - values) it can take. We need a graph where the \( y \) - values are all real numbers greater than or equal to 5.

Step 2: Analyze each graph

• Graph F: Observe the \( y \) - values of the graph. The lowest \( y \) - value (from the visible part) seems to be around 5 or higher, and the graph extends in a way that the \( y \) - values are greater than or equal to 5.
• Graph G: The \( y \) - values in this graph go below 5 (since it has negative \( y \) - values), so it does not have a range of \( y\geq5 \).
• Graph H: The \( y \) - values in this graph go below 5 (it has negative \( y \) - values), so it does not have a range of \( y\geq5 \).
• Graph I: The \( y \) - values in this graph start from a negative number and go up, but they are not all greater than or equal to 5.

Answer:

F