$7.$ An existing spline code is using a sequence of segments, each defined by a cubic spline with an

unfamiliar spline matrix. You plot the basis functions and you see the following curves:

$($a$)$ Which of the four control points $($arbitrarily labeled $0$ through $3$ in the plot$)$ will the curve pass

through, and for what values of t$?$

$($b$)$ Which control points affect the tangent to the curve at t $=0?$ At t $=1?$

$($c$)$ Does this spline have the convex hull property? How did you tell?