(a)
To calculate : The piecewise formula for the function.
(a)
Answer to Problem 40RE
The piecewise formula for the given function is
Explanation of Solution
Given information:
The graph
Formula Used:
Slope of line
The point slope form of the equation of line is
Calculation:
For the given graph we can observe the following points:
There is a line through
Therefore the slope of the line can be found to be,
So, using the point slope form of the equation
The equation of this line would be
Whereas the other line passes through
Therefore the slope of the line can be found to be,
So, using the point slope form of the equation
The equation of this line would be
Now combining both the equations according to their conditions appended to them, we get the following function:
Therefore, the piecewise formula for the function is
(b)
To calculate : Range of the given function.
(b)
Answer to Problem 40RE
The range of the given function is
Explanation of Solution
Given information:
The function
Calculation:
(c)
To graph : The given function.
(c)
Explanation of Solution
Given information:
The function
Graph:
Interpretation:
The domain of the given function is:
The range of the given function is:
Chapter 0 Solutions
CALCULUS-W/XL ACCESS
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