What type of parent function is this? What is the domain and range of this function? write it in interval notation
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Answer:
See below.
Step-by-step explanation:
This is a parabola. Therefore, it is a quadratic parent function. The quadratic parent function is:
[tex]f(x)=x^2[/tex]
The domain of the parent quadratic function is all real numbers.
The range of the parent quadratic function is all y-values greater than or equal to 0. From the graph, we can see that the graph never goes below 0.
So, the domain in interval notation is:
[tex](-\infty,\infty)[/tex]
And the range in interval notation is:
[tex][0,\infty)[/tex]
This is interpreted as all values greater than or equal to 0.
And we're done!