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math456
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Need help! Explain why the function is discontinuous at the given number a. Sketch the graph of the function!
 2 years ago
 2 years ago
math456 Group Title
Need help! Explain why the function is discontinuous at the given number a. Sketch the graph of the function!
 2 years ago
 2 years ago

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math456 Group TitleBest ResponseYou've already chosen the best response.0
@cwrw238 @Hero
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.0
@jim_thompson5910
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
what is cos(0)
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
so notice how in the first piece, the y value at x = 0 is 1 but the y value in the second piece at x = 0 is 0 Can you visualize what I'm describing?
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.0
yea so that means \[\cos x \neq x=0\]
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
do you mean cos(x) doesn't equal x when x = 0?
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.0
yea because at x its 0 and at x<0 its 1
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
then you are correct, and this shows us that there is a discontinuity
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.0
alright kool thanks and does the graph looks like this?dw:1348180882506:dw
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
you're on the right track
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
however, you only graph cos(x) when x < 0
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
and you only graph 1  x^2 when x > 0
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
make sure you draw a hole at (0,1) and a closed circle at (0,0)
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.0
dw:1348181069990:dw like this?
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
closer, but now erase the piece of cos(x) that's to the right of x = 0 and erase the piece of 1  x^2 that's to the left of x = 0
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.0
dw:1348181225073:dw
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
good, you got it
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.0
alright thanks for ur help!
 2 years ago

jim_thompson5910 Group TitleBest ResponseYou've already chosen the best response.1
np
 2 years ago
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