SOLUTION: HOW TO DETERMINE THE domain and range for these? {(x,y,) | y= -⎷ x+3 } y= |x^2 -3x +2| +1

Algebra.Com
Question 890578: HOW TO DETERMINE THE domain and range for these?
{(x,y,) | y= -⎷ x+3 }
y= |x^2 -3x +2| +1

Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
Not sure what is the first equation or how you mean; but the second equation can accept all real numbers for x, and you want to check inside the absolute value part to see if any zeros.



Vertex minimum between the two roots, at .
The value will be a minimum at .



, a minimum but because of absolute value, the smallest value of y will be .

RANGE for y is .
Domain for y is all real numbers.

RELATED QUESTIONS

What is the DOMAIN and RANGE for the following equations: 1) y = 3x - 4 2) y = -2x^2... (answered by venugopalramana)
What is the range and domain of these problems in ordered pair form, or in inequality... (answered by longjonsilver)
Determine the domain and range of the function... (answered by greenestamps)
find domain and range for y=... (answered by Edwin McCravy)
this question asks to: "Find the domain and range of each function": 1.) y=x-1 2.)... (answered by Nate)
Determine the domain and range for... (answered by josgarithmetic)
Show how to find the domain, range, x and y intercepts, and any asymptotes for... (answered by )
What is the domain and range for the following equations: y=1-x y=|1-x| y=1-x^2 (answered by jim_thompson5910)
What is the domain and range for... (answered by ikleyn)