Question

Please assist me with this problem​

Answer 1

rate of change is 2

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