The addition of either -x8 or 5x7 will change the end behavior of y = -2x7 + 5x6 - 24.

explain how each of the added terms above would change the graph.

The degree is odd, so the graph has ends that go in opposite directions. A negative coefficient means the graph rises on the left and falls on the right.  Adding –x8 changes the degree to even, so the ends go in the same direction.  Adding 5x7 changes the leading coefficient to positive, so the graph falls on the left and rises on the right.

Step-by-step explanation:

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x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)