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Is -4 the same as 1/4 in graphs?

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agentblank000 | Student, Grade 10 | Honors

Posted September 22, 2012 at 3:14 PM via web

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Is -4 the same as 1/4 in graphs?

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sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted September 22, 2012 at 5:26 PM (Answer #1)

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Notice that `1/4`  is equal to `0.25` , hence, you should compare the values 0.25 and -4. It is easy to see that the values are not equal, hence, they correspond to different points on the graph.

Hence, you should consider as example the linear function `f(x) = 4x + 1`  and you should substitute `1/4`  for x such that:

`f(1/4) = 4*(1/4) + 1 => f(1/4) = 2`

You should substitute -4 for x such that:

`f(-4) = -16 + 1 = -15`

Notice that the y coordinate at `x = 1/4`  is y=2 and at x = -4 is y = -15 are different, hence `(1/4,2)`  and `(-4,-15)`  represent two different points.

Hence, to avoid any further confusions `4^(-1) = 1/4`  and `-4!=1/4` , hence, the points whose coordinates are -4 and `1/4`  represent different points.

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