First one - The first term will determine the end behavoir on both sides....
As x becomes more and more negative and positive, "y" will become more negative in each direction
So A is correct
Second one -
No
Yes ⇒ (5x - 4) (5x + 4)
No
Yes ⇒ (5x^2 - 4x) (5x^2 + 4x)
Last one ...the rate of change (slope) of the function in the table is [ 8 - 3 ] / [ 3 - 2 ] = 5 / 1 = 5
So...we are looking for all slopes > 5.....we want to put each line in the form y = mx + b where m is the slope
First one
y = (11/2 ) x + 5 m = 11/2..... this is > 5
Second one
-3x + 1/2y =3 add 3x to both sides
(1/2)y = 3x + 3 multiply both sides by 2
y = 6x + 6 m = 6 .... this is > 5
Third one
(1/9)y = (2/3) x multiply both sids by 9
y = 9 (2/3)x
y = 6x m = 6 .... this is > 5
Last one
We can see right off that 4.5 < 5.......
So...the answers are "Yes" to all but the last one