For the function f defined by f(x)=3x^2−2x+5 find f(−x),−f(x) , and −f(−x).

Solution:

Given that the function is defined by,

We have to find f(-x) , -f(x) and -f(-x)

Substitute x = -x in given function

Multiply the above found f(-x) by negative sign

When you multiply a negative number by a positive number then the product is always negative. When you multiply two negative numbers or two positive numbers then the product is always positive.

Multiply the given function f(x) by negative sign

Thus the values are found

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.

18.75 gallons

step-by-step explanation: