(A) find F(x) for the indicated values of x, if possible

(B) find the domain of f.

F(x)=x^3 for x= -3, 5

(A) f(-3)

i do not know how to work the problem

A) The indicated values of F(x) for x=-3 and x=5 are  and

B) The domain of f is the set of all real numbers

Step-by-step explanation:

Given that the function F is defined by

for x=-3,5

A) To find F(x) for the indicated values of x :

Given for x=-3,5

Therefore

Therefore

The indicated values of F(x) for x=-3 and x=5 are  and

B) To find the domain of f :

The domain of the f in the given expression is the set of all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

The domain of f is the set of all real numbers

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.