What is the smallest positive integer value of x where the exponential function defined by the table below exceeds x^2+3? What is the corresponding value for y? _
x / -3, -2, -1
y/ 1/81, 1/27, 1/9
_

x=2, y=3

x=4, y=27

x=3, y=9

x=5, y=81

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.