Give example of each function a degree 2 two zeros the funct

Give example of each function: (a) degree 2; two zeros, the function decreases then increases

(b) degree 3; three zeros, the function increases, decreases, then increases

(c) degree 3; two zeros, the function decreases, increases, then decreases

(d) degree 1; one zero, the function increases

Solution

(a) degree 2; two zeros, the function decreases then increases

y=x^2 -5x +4 , zeroes are x=1,x=4

(b) degree 3; three zeros, the function increases, decreases, then increases

y=x^3 -x , zeroes are x =-1,x =0 ,x =1

(c) degree 3; two zeros, the function decreases, increases, then decreases

y=-x^3 +2x^2-x, zetoes are x=0,x=1

d) degree 1; one zero, the function increases

y =3x-6 ,zero is x =2