A gas station is offering a deal. If you buy 10 gallons or more of gas, you will be charged $2.25 per gallon instead of the regular $2.50 per gallon. The deal is modeled by following piecewise function. f (x) = {2.5x if x < 10 2.25x if x _> 10 If you were to create a graph of this piecewise function, which point would hve an open circle?
The point (10, 22.5) would have an open circle in the graph of this piecewise function. This is because when x = 10, the function is f(x) = 2.25x, and the condition is x ≥ 10. So, at this specific point, the value of the function changes from 2.5x to 2.25x, and we use an open circle to indicate that there is no value assigned to the exact value of x = 10.
