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

1 Answer
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