Question

Need help! Explain why the function is discontinuous at the given number a. Sketch the graph of the function!

Answer 1

@cwrw238 @Hero

Answer 2

@jim_thompson5910

Answer 3

what is cos(0)

Answer 4

its 1

Answer 5

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?

Answer 6

yea so that means \[\cos x \neq x=0\]

Answer 7

do you mean cos(x) doesn't equal x when x = 0?

Answer 8

yea because at x its 0 and at x<0 its 1

Answer 9

then you are correct, and this shows us that there is a discontinuity

Answer 10

alright kool thanks and does the graph looks like this?