Question

f(x)= x^2 - 3
what is the range if the domain is: [-2 < x < 5]

Answer 1

not necessarily

Answer 2

Range = f (-2) < y< f (5)

Answer 3

in fact for sure not.
this is a parabola that opens up. its miminum value is at the vertex
when \(x=0\) you get \(y=-3\) which is the minimum value of the function globally and also on the interval \([2,5]\)

Answer 4

make that the interval \([-2,5]\)

Answer 5

max is at whichever is larger, \(f(-2)\) or \(f(5)\) i think you will find that \(f(5)\) is the larger values since it is further way from 0 than -2 is

Answer 6

[-3,21)