(a)
To find: The domain of the graph.
(a)
![Check Mark](/static/check-mark.png)
Answer to Problem 20E
Domain is: R
Explanation of Solution
Given data:
Calculation:
Domain of function:
All real numbers as the function is real for every real number.
Domain is: R (real numbers).
Conclusion:
Domain is:
(b)
To find: The range of the graph.
(b)
![Check Mark](/static/check-mark.png)
Answer to Problem 20E
The range of function is :
Explanation of Solution
Given data:
Calculation:
Range of function:
As the graph is increased till 4 units and then starts decreasing so 4 unit is the peak of the graph .
The range of function is :
Conclusion:
The range of function is :
(c)
To find:The value of x at f(x)=0
(c)
![Check Mark](/static/check-mark.png)
Answer to Problem 20E
At f(x)=0 ,x=±2
Explanation of Solution
Given data:
Calculation:
Value of x for which f(x)=0
As the function f(x)=0 at the
Conclusion:
At f(x)=0 ,x=±2
(d)
To find: value of f(0)
(d)
![Check Mark](/static/check-mark.png)
Answer to Problem 20E
The value of f(0)=4
Explanation of Solution
Given data:
Calculation:
The value of f(0)
Conclusion:
The value of f(0)=4
(e)
To find:Coordinates of f(1).
(e)
![Check Mark](/static/check-mark.png)
Answer to Problem 20E
f(1)=3 so coordinates are (1,3)
Explanation of Solution
Given data:
Calculation:
For x =1 we have to take
So,
Coordinates are (1,3)
Conclusion:
f (1)=3 so coordinates are (1,3)
(f)
To find:Coordinates of f (-3)
(f)
![Check Mark](/static/check-mark.png)
Answer to Problem 20E
f (-3)=1 so the coordinates are (-3,1)
Explanation of Solution
Given data:
Calculation:
For value of x <0
So, the coordinates are (-3,1)
Conclusion:
f (-3)=1 so the coordinates are (-3,1)
Chapter 1 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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