Which function family does this belong to?

Which function family does this belong to?

Which function family does this belong to?

Which function family does this belong to?

Which function family does this belong to?

Which function family does this belong to?

Which function family does this belong to?

Which function family does this belong to?

Who am I?
-I am a smooth curve.
-I am continuous.
-I have a minimum.
-I am a part of the quadratic function family.
Who am I?
-I am a smooth curve.
-I am increasing across the entire domain.
-I am continuous.
-I am a part of the exponential function family.
Who am I?
-I have a maximum.
-I am discrete.
-I am a part of the quadratic function family.
Who am I?
-I am linear.
-I am discrete.
-I am decreasing across the entire domain.