In this work, we have studied the cosmological model framed in an isotropic background in the f (T ) theory of gravity. The field equations are derived and the dynamical parameters are studied with two different type of scale factors that favours early deceleration and late time cosmic acceleration. The model is showing an accelerating behaviour which can be confronted from the behaviour of geometrical parameters. We also analysed the violation of null energy condition and strong energy condition. To study the dynamics of the universe cosmographic parameters has been investigated.