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Find the range of this quadratic function. Y=x2+2x

Find the range of this quadratic function. Y=x2+2x
46.4k views
3 votes
Find the range of this
quadratic function.
Y=x2+2x

Find the range of this quadratic function. Y=x2+2x-example-1
User RobinL
by
7.6k points

2 Answers

6 votes

Answer: -1≤y≤+∞

Explanation:


y=x^2+2x\\y=x^2+2x+1-1\\y=(x^2+2x+1)-1\\y=(x+1)^2-1\\(x+1)^2\geq 0\\Hence,\\y\geq -1\\Or\\-1\leq y\leq +\infty

Find the range of this quadratic function. Y=x2+2x-example-1
User Tedil
by
8.2k points
3 votes
[-1,infinity) would be the range
User Paul Alexander
by
8.0k points
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