math
how do u find the range for this equation
y=x^2+x-2/|x-1|
I went on symbolab, it says range (-3,∞), but I dont understand it
thanks
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Answers
The range of the equation is all possible values of y for all possible values of x for which the equation is defined.
When solving for the range of this equation, start by focusing on the denominator: |x-1|. For this equation to be defined, x cannot be equal to 1. This eliminates x = 1 from the possible values for x.
Next, you can substitute any values for x that are not equal to 1 into the equation and solve to find the corresponding y values. Doing this will give you the range of y values, which is (-3, ∞). That is, the y values can range from -3 to infinity.
Plotting the equation on a graph and looking at all the y-values gives the same result.
