Answer:
rate of change is 2
Step-by-step explanation:
f(x)=-x⁴ +4x³ -2ₓ² +x+1
putting x=0
f(0)= -(0)⁴ +4(0)³-2(0)²+0+1
f(0)=1
f(x)=-x⁴ +4x³ -2ₓ² +x+1
now putting x=1
f(1)= -(1)⁴ +4(1)³-2(1)²+1+1
f(1)= -1+4-2+1+1
f(1)= -3+6
f(1)=3
rate of change = f(1)-f(0)=3-1=2
