Both in the root locus and in the step response diagram, but both will only be exact for second order systems, otherwise they will be approximations

Both in the root locus and in the step response diagram, but the former will only be exact for second order systems. 

Only in the root locus diagrams, but the result will be approximate unless we are dealing only with a second order system, never in the step response diagram

Two real negative zeros, one integrator and (at least) one large (in absolute value) real negative pole

One zero at the origin and (at least) one large (in absolute value) real negative pole

One small real negative zero and (at least) one large (in absolute value) real negative pole

This factor could have any real value between -1 and 1, but excluding zero

This factor could have any real value between -1 and 1

This factor could have any real value, either positive or negative, never zero

This factor could have any positive real value

It is a positive (phase) lead controller, which generates a complete control system T(s) stable, precise enough to step and with both enough speed, no oscillations and no overshoot

It is a positive (phase) lead controller, which generates a complete control system T(s) stable, precise enough to step and fast, but very oscillatory and with big overshoot

It is a positive PID (proportional integral and approximate derivative controller), which generates a complete control system T(s) stable, perfectly precise to step and with both enough speed and oscillations and overshoot small enough

It is a positive PI (proportional and integral controller), which generates a complete control system T(s) stable, precise enough to step and with both enough speed and oscillations and overshoot small enough

It is a negative PID (proportional integral and approximate derivative controller), which generates a complete control system T(s) stable, perfectly precise to step and and with both enough speed and oscillations and overshoot small enough

It is a negative proportional controller, which generates a complete control system T(s) stable, precise enough to step and with both enough speed and oscillations and overshoot small enough

It is a negative (phase) lead controller, which generates a complete control system T(s) stable, precise enough to step and with both enough speed and oscillations and overshoot small enough

It is a positive proportional controller, which generates a complete control system T(s) stable, precise enough to step and with both enough speed and oscillations and overshoot small enough

It is a negative PI (proportional and integral controller), which generates a complete control system T(s) stable, precise enough to step and with both enough speed and oscillations and overshoot small enough