The drawing shows the electrical potential as a function
ofdistance along the x-axis. determine the magnitude of
theelectrical field in the (a) a to b, (b) b to c and (c)c to
d.

Explanation:

As figure is not given so considering the most relevant diagram for question attached below

We can define Electric field as rate of change of electric potential with respect to space (say x-axis here). It is related in formula as

a) For Region A to B:

As can be seen from figure, point charge moves from 0 to 0.2 along x-axis, the value of electric potential remains constant i.e 5 volts

b) For Region B to C:

As point charge moves from B to C (0.2 to 0.4) along x-axis, the value of electric potential decreases from 5 volts to 3 volts. Electric field induced is:

c) For Region C to D:

As point charge moves from C to D (0.4 to 0.8) along x-axis, the value of electric potential decreases from 3 volts to 1 volt. Electric field induced is:

For Information:

Unit of Electric field is V/m or N/C

a straight line sloped

i am pretty sure it is c because when people are closer together, they cannot move as freely. picture being in a mostly full elevator, for instance. the people are right next to you, and you can barely move.