SELECT PAGE NO.
No Books/Pages Are Available |
SELECT PROBLEM NO. FOR THE PAGE |
Observe the graph of the function.
(a)
We can observe from the graph that exists.
The black dot indicates the value of the function at .
(b)
We can observe from the graph that does not exists.
As approaches to from the left side then approaches to approximately.
As approaches to from the right side then approaches to approximately.
Since the left hand limit and right hand limit are not equal, limit does not exist.
does not exist.
(c)
We can observe from the graph that does not exists.
The hollow dot indicates that value of the function does not exist at .
is undefined.
(d)
We can observe from the graph that exists.
As approaches to then approaches to .
Therefore .
(a)
(b) does not exist.
(c) is undefined.
(d) .
"I want to tell you that our students did well on the math exam and showed a marked improvement that, in my estimation, reflected the professional development the faculty received from you. THANK YOU!!!" June Barnett |
"Your site is amazing! It helped me get through Algebra." Charles |
"My daughter uses it to supplement her Algebra 1 school work. She finds it very helpful." Dan Pease |