Step-by-step explanation:
From the graph we notice that the minimum of the function 1 is -1
From the table we notice that the minimum of the second function is 2
so the function #2 has a greater minimum
The function is x²+3x-4
Derivate it and solve the equation y'=0
y'= 2x+3
y'=0
2x+3=0
2x= -3
x = -3/2
Derivate it again:
y"= 2> 0⇒ so the function reaches the minimum at -3/2
the image of -3/2 is :
y= (-3/2)²+3*(-3/2)-4 = -6.25
so the answer is
#3<#1<#2
