Saturday, January 26, 2008

Pre-Calculus









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7 comments:

Anonymous said...

how do i find the domain and range of a function, for instance f(x)=-5x^2+1x+5
I'm pretty sure the domain is -infinity to infinity but the range is screwing me up

123edu said...

It's good that you know that the domain of the function is infinity to infinity since there's no restriction on the x values. Using the same logics and reasoning, the range is infinity to infinity also because there's no restriction on the output, which is f(x).

Anonymous said...

how do i find the domain of a square root fnction: f(x): square root of 4-x^2?

123edu said...

First, because f(x) is a square root function, therefore f(x) must equal or greater than 0, which means

4 - x^2 = 0
x^2 = 4
x = + or - 2

+2 and -2 are the critical numbers.

1: If x is > 2, then sqrt of
4 - x^2 is less than 0, therefore x is not > 2.

2: If x is < -2, then sqrt of
4 - x^2 is also less than 0, therefore x is not < -2.

finally, for -2 < x < 2, square root of 4 - x^2 is equal or greater than zero. Therefore, the domain of f(x) is -2 < x < 2.

Life and everything in between said...

how do u find the range of square root of x^2-5X-6?

Anonymous said...

How do I find all the values t such that 5-7t is greater than or equal to 0?

Anonymous said...

How do I find the domain ?
f(x)= √s-1/ s-4

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