A, B, C, and D, are all functions. the " { " is saying that those functions can are different at different points. For A the function is when and then when . At the point you can see that the function on the graph is going in two different directions but it stops at .
Based on the graph you can see that the line on the left has a slope of -1 and if it kept going it would cross the y-axis at , therefore the equation for the first line is when
The second line on the right side has a slope of 1 and crosses the y-axis at so the equation for that line is when .
The only answer that matches these requirements is A
1. Rosa made 96 pints of lemonade because 1 gallon= 8 pints and 12 × 8= 96, so 12 gallons=96 pints. 2.The mountain climber climbed 3 miles because 1 mile = 5,260 feet and 15,840÷5,260=3, so 3 miles = 15,840 feet.