Question

h(t)=(t+3)
2
+5h, left parenthesis, t, right parenthesis, equals, left parenthesis, t, plus, 3, right parenthesis, squared, plus, 5
¿Sobre qué intervalo tiene hhh una tasa de cambio promedio negativa?

Answer 1

The function must have a negative rate of change at the point where t < 3

Equations and expressions

Given the equation expressed as;

• $h(t) = (t+3)^2 + 5$

For the function to have a negative rate of change then;

$\frac{dh}{dt} < 0$

Differentiate the function:

$2(t - 3) < 0\\2t-6 < 0\\t < 3$

Hence the function must have a negative rate of change at the point where t < 3

Learn more on rate of change here: https://brainly.com/question/8728504