What is the range of the function #F(X) = X^2 + 4#?

1 Answer
Jim G.
Apr 8, 2017

#y inRR,y>=4#

Explanation:

The 'basic' parabola #y=x^2# has a #color(blue)"minimum turning point"# at the origin (0 ,0)

The parabola #y=x^2+4# has the same graph as #y=x^2# but is translated 4 units vertically up and so it's #color(blue)"minimum turning point"# is at (0 ,4)
graph{(y-x^2)(y-x^2-4)=0 [-10, 10, -5, 5]}

#rArr"range is " y inRR,y>=4#

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