 |
|---|
SELECT PAGE NO.
No Books/Pages Are Available |
SELECT PROBLEM NO. FOR THE PAGE |
| PAGE: 188 | SET: Exercises | PROBLEM: 121 |
The logarithm expression is 
.
Change of base formula : 
.
Construct a table of values to find ordered pairs that satisfy the function :
 |
|
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
Graph :
(1) Draw the coordinate plane.
(2) Plot the points from the table of values.
(3) Connect the plotted points to a smooth curve.
Observe the above graph :
Domain of the function is 
.
Range of the function is 
.
Find 
-intercept by substituting 
in .
Apply definition of logarithm : 
if and only if 
.
-intercept is 
.
Find 
-intercept by substituting 
in .
Since 
is not in the domain of logarithm -intercept does not exist.
Find the horizontal and vertical asymptotes.
Observe the above graph the function does not have horizontal asymptote.
The equation of vertical asymptote of graph of the function 
is 
.
Thus the vertical asymptote of graph function is .
End behavior : 
and 
.
The function is increasing over the interval .
Graph of the function is
Domain of the function is .
Range of the function is .
-intercept is .
-intercept does not exist.
There is no horizontal asymptote.
The vertical asymptote of the function is .
End behavior : and .
The function is increasing over the interval .
|
"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 |
Simply chose a support option
  
|