a.
To calculate the domain of the function
a.

Answer to Problem 52RE
Explanation of Solution
Given:
Function:
Concept used:
The domain of the function is the set of values, where the function is defined.
Calculation:
Now, finding the domain of the function,
When
So, the domain of the function is
Conclusion:
Hence, the domain of the function is
b.
To find the intercepts of the function
b.

Answer to Problem 52RE
(4, 0), (0, 0.57)
Explanation of Solution
Given:
Function:
Calculation:
Consider the function
To find the y-intercept, put
So, y-intercept is (0, 0.57).
To find the x-intercept, put
So, the x- intercept is (4, 0).
Conclusion:
Therefore, the x-intercept is (4, 0) and y-intercept is (0, 0.57).
c.
To find the asymptotes to the function
c.

Answer to Problem 52RE
Explanation of Solution
Given:
Function:
Calculation:
Asymptotes:
Vertical asymptotes:
To find vertical asymptotes, put denominator of the given function equal to zero.
Horizontal asymptotes:
As the degree of numerator is equal to the degree of the denominator, the horizontal asymptote for given function is
Conclusion:
Therefore, the vertical asymptote is x = 7 and horizontal asymptote is y = 1.
d.
To sketch the function
d.

Explanation of Solution
Given:
Function:
Calculation for graph:
Consider
Values of x | Values of h(x) |
0 | 0.57 |
1 | 0.5 |
-1 | 0.625 |
2 | 0.4 |
-2 | 0.666 |
By taking different values of x, the graph can be plotted.
Graph:
Interpretation:
The above graph represents the sketch of given function.
Chapter 2 Solutions
EBK PRECALCULUS W/LIMITS
- can you solve this question using partial fraction decomposition and explain the steps used along the wayarrow_forwardIntegral How 80*1037 IW 1012 S е ऍ dw answer=0 How 70+10 A 80*1037 Ln (Iwl+1) du answer=123.6K 70*1637arrow_forwardcan you solve this question and explain the steps used along the wayarrow_forward
- can you solve this question and explain the steps used along the wayarrow_forwardcan you solve this question and explain the steps used along the wayarrow_forwardCan the expert solve an Intestal In detall? 110x/0³ W. 1 SW = dw A 40x103π ⑤M-1 大 80*10³/ 12 10% 70*1037 80x103 || dw OP= # Sin (w/+1) dw A 70*10*Aarrow_forward
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning





