Question

Give the value of the maximum or minimum of the function f(x)=x^2-1.

Answer 1

it will be parabola wih lowest point at x=0

Answer 2

\[f(x)=x^2-1\]
\[f'(x)=2x\]
\[f''(x)=2\]
At S.P's (Stationary Points) f'(x)=0
\[2x=0\]
\[x=0\]
To find the y coordinate/value, sub the x value back into the original equation.
\[y=-1\]
To determine whether that point is a maximum or minimum, check the second derivative of the function. If the second derivative is greater than zero, then it's a minimum, if it's less than zero, it's a maximum.
\[f''(x)>0\]
Therefore Maximum Turning Point at (0, -1)

Answer 3

Thank You

Answer 4

Wait it's a Minimum.

Answer 5

@NathalieeM And the question asks for the value. You just need to say Minimum Turning Point at x=0.

Answer 6

That's all you got to do.

Answer 7

Oh okay , got it (: