GIVING TO IS FIRST AND CORRECT Which is a true statement about the given ratios? StartFraction 9 Over 14 EndFraction, StartFraction 22 Over 28 EndFraction, StartFraction 5 Over 7 EndFraction, StartFraction 12 Over 14 EndFraction StartFraction 9 Over 14 EndFraction greater-than StartFraction 5 Over 7 EndFraction StartFraction 5 Over 7 EndFraction greater-than StartFraction 22 Over 28 EndFraction StartFraction 12 Over 14 EndFraction greater-than StartFraction 22 Over 28 EndFraction StartFraction 9 Over 14 EndFraction greater-than StartFraction 12 Over 14 EndFraction

this question relies purely on our observation of the graph and a knowledge of the behaviour of a graph of a hyperbola.

now, what we should realise is that there are two asymptotes - one at x = 0 and one at y = 0. what this means is that the graph will gradually approach, but never touch, these two lines. so, as x becomes more positive (ie. 'a very large positive number'), it will get closer to the line y = 0 (ie. the x-axis) - which means that the value of f(x) will gradually become smaller and closer to 0 - but will never reach it.

we can also observe this from the right half of the graph, where the graph gradually lowers closer and closer to the x-axis as x increases. what is important to note however is that it will never actually touch the x-axis (ie. f(x) will not equal 0) since there is an asymptote there. given this, we can see that option d, f(x) is a very small positive number, would be correct.

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

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i think it will be zero as slope has a formula of difference between initial and final distance divided by itz time interval

8

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