## anonymous 5 years ago Find the range of this function??

1. anonymous

2. anonymous

Real numbers that are Greater than or equal to -4

3. anonymous

wouldnt it be -3?

4. watchmath

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

5. anonymous

yes

6. anonymous

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

7. watchmath

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. $$f(x)\geq -3$$

8. watchmath

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