Solution: The range of function is and the domain of the function is the set of all real number or .
Given: The function is .
Comparing the provided equation to the standard parabolic equation .
The vertex of the parabolic equation is .
Determine the intercepts.
This implies that:
The intercept are and . And the parabola passes through the points and .
Now, to find the intercept, put .
The intercept is and parabola passes through the point .
The graph of the parabola equation is shown below as:
Now, compute the domain.
The axis on the graph corresponds to the domain of the function. In the graph it is clear that the domain of the function is the set of all real number or .\
The range of the function is the output on the axis on the graph. Since, the vertex is -4, the points on axis fall at or above -4. Thus, the range of the function is .
Conclusion: The graph shows that the parabola’s vertex is the lowest point. Thus, the range of function is and the domain of the function is the set of all real number or .
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