Question

Find the range of the function.

f(x) = (x + 5)2 + 8

y > -8

y ≥ 8

y > 8

All real numbers

Answer 1

f(x) = (x+5)^2 +8

Answer 2

Well, first, the term (x+5)^2 will always be non-negative, that is it will always be 0 or greater than 0, can you see why?

Answer 3

well you have a parabola with a vertex at (-5, 8)

the parabola is concave up... so the lowest point curve gets to it the y value in the vertex

Answer 4

f(x)≥8