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math solutions
a fast food chain has a contest in which a card
with numbers on it is given to each customer who
makes a purchase. if some of the numbers on the
card add up to 100, then the customer wins $100.
you make a purchase and receive a card contain-
ing the numbers 72, 21, 15, 36, 69, 81, 9, 27, 42,
and 63.
will you win $100?
why or why not?

answer: on graphs, the open and closed circles, or vertical asymptotes drawn as dashed lines us identify discontinuities.

as before, graphs and tables allow us to estimate at best.

when working with formulas, getting zero in the denominator indicates a point of discontinuity.

when working with piecewise-defined functions, check for discontinuities at the transition points where one piece ends and the next begins.

step-by-step explanation: