Question

classify the discontinuities (if any) for the given function: f(x) = {2, x 15 years ago

Answer 1

discontinuous at x=0,1,3

Answer 2

the answer choices are
(a)
The function has a removable discontinuity at x = 1
b) The function has a jump discontinuity at x = 0 and 3
c) The function has an infinite discontinuity at x = 3
d) The function is continuous for all x
e) The function has a removable discontinuity at x = 3

Answer 3

would it be answer choice a?

Answer 4

no it would def be B) at x=0,1,3 the y value jumps up or down

Answer 5

thanks, could you also explain how you got that answer?

Answer 6

it helps if you try to draw the graph
for all neg values y=2
for x between 0 and 1, y=x^2
for x between 1 and 3, y=1
for x>3, y=x
At x=0 you have a jump from 2 to 0 because y=x^2=0^2=0
when you have a break in the graph like this it is a jump discontinuity
here is site on discontinuities

http://en.wikipedia.org/wiki/Jump_discontinuity#Examples

Answer 7

thanks!