a.
The vertex of the graph of the function
a.
Answer to Problem 27WE
The vertex of graph of function is
Explanation of Solution
Given information: The given function is
Calculation: The given function can be written as,
Since (1) represents a parabola of the form
b.
The domain of the function
b.
Answer to Problem 27WE
The domain of the function is all real numbers.
Explanation of Solution
Given information: The given function is
Calculation: From (1), the parabola obtained represents a parabola opening downwards because of negative coefficient of
Hence the domain of the function is all real numbers.
c.
The range of the function
c.
Answer to Problem 27WE
The range of the function is
Explanation of Solution
Given information: The given function is
Calculation: From (1), the parabola obtained represents a parabola opening downwards because of negative coefficient of
Hence the range of the function is all real numbers less than or equal to
d.
The zeros of the function
d.
Answer to Problem 27WE
The zeros of the function are
Explanation of Solution
Given information: The given function is
Calculation: The zeros of the function can be obtained by equating the given function equal to zero. Therefore
Hence the zeros of the function are
Chapter 7 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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