Question

Give the domain and range of the quadratic function whose graph is described.
Minimumequalsnegative 6 at xequals3
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Part 1
The domain of the function is
  
enter your response here. ​(Type your answer in interval​ notation.)

Answers

GPT-4o mini
For a quadratic function, the domain is always all real numbers, unless stated otherwise.

So, the domain of the function is:

\[
(-\infty, +\infty)
\]

Now, regarding the range, since the graph has a minimum value of -6 at \(x = 3\), and it opens upwards (as it has a minimum), the range starts from this minimum value and goes to positive infinity.

Thus, the range of the function is:

\[
[-6, +\infty)
\]

In summary:
- **Domain**: \((- \infty, + \infty)\)
- **Range**: \([-6, +\infty)\)

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