Question

what the range for the function f(x)=2(x-4)²+ 3

Answer 1

the set of all positive real number is the range of yur question
like this
x=0
F(0)=2(0-4)^2+3
=2(-4)^2+3
=2(16)+3
=32+3
=35
35 is belong to positive real numbers
x=1
F(1)=2(1-4)^2+3
=2(-3)^2+3
=2(9)+3
=18+3
=21
21 is also belong to the positive real number
and when we put neagtive number it also become positive
For instance
x=-3
f(-3)=2(-3-4)^2+3
=2(-7)^2+3
=2(49)+3
=98+3
= 101
101 it is also belong to the positive real no#

Answer 2

i think these points clear yur hurdles in this question