The function T T\,T is defined for x∈Rx \in \mathbb{R}x∈R by T(x)=3∣x−6∣−15T(x) = 3|x - 6| - 15T(x)=3∣x−6∣−15. The graph of y=T(x)y = T(x)y=T(x) forms a V-shape with a vertex at point PPP.
State the coordinates of the vertex PPP.
Evaluate the composite TT(0)TT(0)TT(0).
Determine the range of values of x x\,x for which T(x)<2x−1T(x) < 2x - 1T(x)<2x−1.
Solve the equation T(∣x∣)=0T(|x|) = 0T(∣x∣)=0.
