Question

G(t)=-(t-1)^2+5
Over which interval does g have an average rate of change of zero?

Answer 1

As per the equation, g has an average rate of change of zero over the interval t = 1.

Step-by-step explanation:

To find the interval over which g has an average rate of change of zero, we need to find when the derivative of g is equal to zero.

Taking the derivative of g(t), we get g'(t) = -2(t-1).

Setting g'(t) equal to zero and solving for t, we have -2(t-1) = 0.

This gives us t-1 = 0, so t = 1.

Therefore, g has an average rate of change of zero over the interval t = 1.