Question

Sketch, the graph of a function that satisfies the following:
a) it's domain is in the interval [0,4]
b) f(0)=f(1)=f(2)=f(3)=f(4)=1
c) limits

Answer 1

\[\lim_{x \rightarrow 1} f(x)=2, \lim_{x \rightarrow 3-}f(x)=2, \lim_{x \rightarrow 2} f(x)=1, \lim_{x \rightarrow 3+}f(x)=1\]

Answer 2

Alright, you know the 'domain' means the interval along the x-axis where everybody lives, right?

Answer 3

yes, is it saying that it can only be from 0 to four

Answer 4

or is it just at (0,4)

Answer 5

[0,4] inclusive.

Answer 6

(b) says that the function values at 0,1,2,3, and 4 are all =1.
(c) says where the function is approaching as you approach those particular values of x, from those particular directions.

Answer 7

i dont get b :S

Answer 8

does that mean the y value is always one

Answer 9

No, it means the y value is one at those specific values of x. What happens in-between has to be determined later.

Answer 10

@CliffSedge is this right ?:S