What is the range of the function $y = (x^{2}) - 6 x + 1$ $y=(x^2) - 6x + 1$ ?

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Answer 1 · 2017-03-04T01:40:06

Range: [-8, +oo)

$y = x^{2} - 6 x + 1$ $y=x^2-6x+1$

$y$ $y$ is a parabola with a minimum value where $y'=0$

$y' = 2x-6 =0 -> x=3$

$:. y_min = 3^2 - 6*3 +1 = -8$

$y$ has no finite upper limit.

Hence the range of $y$ is $[-8, +oo)$

The range of $y$ can be deducd by the graph of $y$ below.

graph{x^2-6x+1 [-18.02, 18.02, -9.01, 9.02]}

What is the range of the function y=(x^2) - 6x + 1y=(x2)−6x+1y=(x^2) - 6x + 1?