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(a)
Define the function
(a)
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Answer to Problem 15SGR
The function
Explanation of Solution
Given:
The function
Concept Used:
If the coefficient of
If the coefficient of
The graph of any quadratic function is a parabola.
![]() | ![]() |
Thus, the function
(b)
State the maximum or minimum value
(b)
![Check Mark](/static/check-mark.png)
Answer to Problem 15SGR
Maximum value is at x = 1
Explanation of Solution
Given: The function
Concept Used:
If the coefficient of
If the coefficient of
The graph of any quadratic function is a parabola.
![]() | ![]() |
Calculation: The graph of the function
Thus, the graph has maximum value is at x = 1
(c)
Find the domain and range of the function.
(c)
![Check Mark](/static/check-mark.png)
Answer to Problem 15SGR
The domain is all real numbers. The range is all real numbers greater than or equal to the maximum value or
Explanation of Solution
Given: The function:
Concept Used:
The domain of a function is the complete set of possible values of the independent variable. The domain is the set of all possible x-values which will make the function "work", and will output real y-values.
The range of a function is the complete set of all possible resulting values of the dependent variable ( y, usually), after we have substituted the domain.
Thus, the domain is all real numbers. The range is all real numbers greater than or equal to the maximum value or
Chapter 9 Solutions
Algebra 1
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