Question

Find the range of this function??

Answer 1

Real numbers that are Greater than or equal to -4

Answer 2

wouldnt it be -3?

Answer 3

Is your function \(f(x)=(x-1)^2-3\) ?

Answer 4

yes

Answer 5

Oh it's greater than or equal to -2
My bad

Answer 6

Notice that the expression \((x-1)^2\) is always greater than or equal to zero.
Hence \((x-1)^2-3\) always greater than or equal to -3.
\(f(x)\geq -3\)

Answer 7

So the range is the interval \([-3,\infty)\)