A cube has a volume of 10 cm^3. A larger cube has a volume of x cm^3 . Consider the function f(x) =(x-10)cubed. What do the values f(19) and f(14) represent?

Hence both F(19) and F(14) has value for their indices.

Step-by-step explanation:

Given:

A cube with volume =10cm^3

And a function=F(x)=(x-10)^3.

To find ;

Relationship between values at x=19 and x=14.

Solution:

Given that volume of cube =10 c.c.

So (l)^3=10 c.c

l=(10)^(1/3)

l=2.15544 cm

Now

F(x)=(x-10)^3

here x=19

F(19)=(19-10)^3

=(9)^3

=729 cc

Now for x=14

F(14)

=(14-10)^3

=(4)^3

=64 cc

Now concluding from above equation we get ,

The values are 729 and 64

These two can be written in same value of index as follows:

(729)=(9)^3

={(3)^2}^3}.

=(3)^6

And

(64)=(4)^3

={(2)^2}^3

=(2)^6.

Hence both F(19) and F(14) has value for their indices.

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)