Use the equation and type the ordered-pairs. y = log₂ x (1/ ( ( ( ( (}

Hello!

To find the y-values of the given ordered pairs, substitute the x-values into the equation, y = log₂ x.

y = log₂ 1/2, y = -1

y = log₂ 1, y = 0

y = log₂ 2, y = 1

y = log₂ 4, y = 2

y = log₂ 8, y = 3

y = log₂ 16, y = 4

Therefore, the ordered pairs of y = log₂ x is: {(1/2, -1), (1, 0), (2, 1), (4, 2), (8, 3), (16, 4)}.

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.