Select all of the statements that can be determined from the table given . x f(x) -4 ,10 -3, 4 -2 ,0 -1 ,0 -1, -2 0, -2 1 ,0 2, 4 3, 10 a) there are x-intercept at (0,-2) and(0,1) b) there is a y-intercept at (0,-2) c) in the interval from x=0 to x=3 , f(x) is decreasing d) there is a line of symmetry at x=0.5

there is a y-intercept at (0,-2)

Step-by-step explanation:

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step-by-step explanation:

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.