What increases and decreases in f(x)=2(x+4)(x-3)(x-1)^2

F ( x ) is increasing for x ∈ ( 0 , + ∞ ) and decreasing for x ∈ ( − ∞ , 0 )

 F(x)=1 Also notice, F(0)=0 which is an absolute minimum for F(x)Therefore:

F(x) decreases from 1for x<0 and increases to 1 for x>0

This can be seen from the graph of F(x) below:

graph{x^2/(x^2+3) [-7.025, 7.02, -3.51, 3.51]}

the transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

in this example (hyperbola of equation x^2/2 - y^2/4 = 1), the transverse axis is the  x-axis  . 

step-by-step explanation:

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