Determine whether each function is continuous or discontinuous.?

Question

A) First class postage, as a function of weight.
B) Atmospheric pressure, as a function of altitude.
C) Average daily temperature, as a function of the day of the year.
D) Earth's distance from the center of the sun, as a function of time.

Answer 1

A is discontinuous. $0.41 for 1st oz or any fraction, increasing stepwise with weight.
C is discontinuous since it changes for each day.
B and D are continuous functions.

Answer 2

i'm assuming it somewhat is a piecewise function? properly, all 3 of those applications are non-end on their own, so the only way it somewhat is discontinuous is on the "barriers" between the a number of graphs. So in simple terms plug interior the x fee in each and each function and notice in the event that they're the comparable: 2+(0)² = 2 3-(0) = 3 by using fact the y-values are not the comparable right here, the piecewise function is discontinuous at x = 0 Now repeat with the different boundary: 3-(3) = 0 ((3)-3)² = 0 by using fact the y-values are the comparable right here, meaning the function is non-end at x = 3 i'm no longer probably specific what you're asserting once you suggested "make certain regardless of if f is non-end from the best, or from the left, or neither." by using fact that's an somewhat graph and not a factor, at x = 0, the graph is non-end on the left and ideal of 0, yet no longer on the somewhat factor x = 0.

Answer 3

I though atmospheric pressure wavers all the time. When you measure it using a barometer and record the data you usually never get a gradual change in Pbar. I would say that the graph for the plotted information is not entirely continuous. But that is just me.

Answer 4

A. Continuous
B. Continuous
C. Discontinous
D. Continous