Look at the multiples of four that have an even number in the tens place. What value do they have in the one's place do you think this pattern? Would continue with multiples of four that larger than 100?

The multiples of 4 in the tens place are:

12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, . . .

The ones with even number in the tens place are:

20, 24, 28, 40, 44, 48, 60, 64, 68, 80, 84, 88, ...

In the ones value we see the pattern 0, 4, 8

Repeating itself.

And if you should continue for multiples of 4 greater than 100, this pattern will still continue.

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.