(a)
To find: The domain and range of the given function.
(a)
Answer to Problem 5E
The domain is equal to
Explanation of Solution
Given information:
The function is
Calculation:
To find the domain: The domain for all quadratic functions is always all real values.
Since the given function is the quadratic function, so the domain of the given function is all real numbers.
To find the range: Rewrite the equation of function and solve for
There does not exist a real square root of a negative number, so the inside of the square root,
It can be simplified as below:
So, the
Therefore, the range is all real umber less than or equal to
i.e.
Hence, the domain is
(b)
To sketch: The graph of the function
(b)
Explanation of Solution
Given information:
The function is
Calculation:
The given function is
The given function is the parabolic function with vertex
Now, sketch the graph of the function below:
Chapter 0 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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