Question

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 the following piecewise function.

f(x)={2.5x if x<102.25x if x≥10


If you were to create a graph of this piecewise function, which point would have an open circle?

(1 point)

(0,0)


(10,25)


(10,22.5)


(1,2.5)

Answer 1

(10,25)

Because for x < 10 the value is 2.5x, which approaches 25 at x = 10 but that branch is not defined at 10, so (10,25) is an open circle.