Question

Over which interval does the function decrease the fastest?
f(x) = 3√ (-x + 3)
A.4 < x < 6
B.0 < x < 2
C.6 < x < 8
D.2 < x < 4

Answer 1

what level math is this ?

Answer 2

Nonlinear algebra

Answer 3

id say its C

Answer 4

no - x =6 to 8 would give negative square root

Answer 5

the graph would finish at the point (0,3)

Answer 6

Same aproach as the other one
\[f(x) = 3 \sqrt{-x + 3}\]
We need to know in which interval the derivative is the smallest
\[f'(x) =-\frac{ 1.5 }{ \sqrt{-x + 3} } \]
The domain of \(f(x)\) is \( (\infty, 3]\)
So only B is a valid interval
Didn't even need the derivative nor taking a limit

Answer 7

right