Question

Which is the largest interval over which the function in the table is increasing?

Answer 1

Answer:

Solution given:

y=-1/2 x²

for

f(x)=-1/2 x².

differentiating each term with respect to x

f'(x)=-x

when

x=-4

f'(-4)=4>0 increasing

when

x=-2

f'(-2)=2 >0 increasing

when x=0

f'(0)=0 stationary point.

other points are decreasing

so

largest interval of increasing is

A.X<-2

Answer 2

GIVEN:

• y = - 1/2x²

ANSWER:

Let f(x) = - 1/2x²

f(- 4) = -1/2 × (- 4)²

• -1/2 × 16
• - 8

f(- 2) = -1/2 × (- 2)²

• -1/2 × 4
• - 2

Largest interval over which the function in the table is increasing is - 2.

So, Correct choice - [A] x < - 2.