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Can you specify an explicit curve by specifying its x,y points ?

I was wondering if I can specify a curve by giving its x,y points:

(0,0),(0.5, 0.25),(0.6, 0.36),(2.0, 4.0)

and then do various other manipulation of this curve like, interpolation, derivative at some point, aread under the surface between two points (integral) etc?

Can you specify an explicit curve by specifying its x,y points ?

I was wondering if I can specify a curve by giving its x,y points:

(0,0),(0.5, 0.25),(0.6, 0.36),(2.0, 4.0)

and then do various other manipulation of this curve like, interpolation, derivative at some point, aread under the surface between two points (integral) etc?

Can you specify an explicit curve by specifying its x,y points ?

I was wondering if I can specify a curve by giving its x,y points:

(0,0),(0.5, 0.25),(0.6, 0.36),(2.0, 4.0)

and then do various other manipulation of this curve like, interpolation, derivative at some point, aread under the surface curve between two points (integral) etc?