Which function has a range of y? f(x) = (x – 4)2 + 5 f(x) = -(x-4)2 + 5 f(x) = (x - 5)2 + 4 f(x) = -(x - 5)2 + 4

Question

Which function has a range of y<_5?

f(x) = (x – 4)2 + 5
f(x) = -(x-4)2 + 5
f(x) = (x - 5)2 + 4
f(x) = -(x - 5)2 + 4

Answer 1

f(x) = -(x-4)² + 5

Explanation:

f(x) = -(x-4)² + 5

Has a maximum vertex at (4,5)

Which means the function has a greatest value of 5 at x = 4

Therefore the range is:

y《5