Concept explainers
To graph:The quadratic function, label its vertex, axis of symmetry, and x-intercept. Also to describe the domain and range of the function.
Answer to Problem 24CR
The domain of function
Explanation of Solution
Given information:
The given function is
Concept /Formula/ Method used:
The graph of function is drawn using graphing calculator. The vertex of quadratic function point of its maximum or minimum. The axis of symmetry is the normal to its tangent at vertex and x-intercept is the point where its graph intersect x-axis. Domain is the set of variables x on which on which function is defined and the range is the set of images of members of the domain.
Calculations:
The given function is
Or
Or
The standard form of quadratic function is
The general form of the quadratic function is
The x-intercepts of the quadratic function are points where
The vertex of the function
The axis of symmetry of the function
Since,
The x-intercepts of the function
The graph of function
Domain:
Since the function
Range:
The function is
For x to be real
This shows that the range of
Conclusion:
The domain of function
Chapter 8 Solutions
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