Domain: All Real Numbers
Range: All Real Numbers
Further explanation:
Let us define domain and range first
Domain is the set of all possible inputs for a function on which the function is defined.
While range is the output of the function obtained by inputting domain
Here,
Given function is:
The function will not be undefined on any input, so the domain of the function is all real numbers.
Similarly, the range will also be all real numbers as there is no input which makes it undefined.
Keywords: Domain, range of a function
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There are 2 roots so the only way to complete the square is,
Just factor 2 out of 2x^2+8x (just ignore the -9) then find the number that will make the terms be able to complete the square.
then complete the square and multiply 2 inside the brackets.
subtraction as you already get the vertex form and know how to complete the square.
Vertex Form: