If the domain is all real numbers then the range is from negative 7 to infinity that is [tex]\rm [-7 \ to \ \infty)[/tex].
What are domain and range?
The domain means all the possible values of the x and the range means all the possible values of y.
Given
The function is [tex]\rm y = x^{2} +2x -3[/tex].
We know that the function is a parabolic function. Then the function can be written as
[tex]\rm y = x^{2} +2x -3\\\\y = x^2 +2x + 4 - 4 - 3\\\\y = (x^2 +2x + 4) - 4 - 3\\\\y = (x + 2)^2 - 7\\\\[/tex]
From the equation, we can conclude domain and range.
[tex]\rm Domain = (-\infty \ to \ \infty)\\\\Range \ \ = [-7 \ to \ \infty)[/tex]
Thus, if the domain is all real numbers then the range is from negative 7 to infinity that is [tex]\rm [-7 \ to \ \infty)[/tex].
More about the domain and range link is given below.
https://brainly.com/question/12208715
