Answer:
Rate of change = - 4
Step-by-step explanation:
[tex]h(x) = -x^2 + 3x + 1 \\\\h(2) = -(2)^2 + (3 \times 2) + 1 = - 4 + 6 + 1 = 3\\h(5) = - (5)^2 + ( 3 \times 5) + 1 = - 25 + 15 + 1 = -9\\[/tex]
Rate of change :
[tex]= \frac{h(2) - h(5)}{2-5} = \frac{3-(-9)}{2-5} = \frac{3+9}{-3} = - \frac{12}{3} = -4[/tex]
