Question

How do you find the domain of any function? Such as x-2x^2 or 4x^2-x/2x^2 without a graph?

Answer 1

Domain means what x values does the function stretch into. Dealing with divisions, we must see what number that makes the denominator equal to zero when we plug it into the x value. If there's only one number that makes the denominator equal zero, then the domain of the function is all real EXCEPT that number that made the denominator equal to zero. Makes sense?

Answer 2

So regular equations without fractions are always all of x?

Answer 3

So for this function, f(x)=x-2x^2 that's an upside down parabola, and we know from a parabola that domain is all real numbers, but the range is different depends on the function you are using.

For 4x^2-x/2x^2 , the denominator we see is 2x^2, set the denominator equal to zero to see what number restricts the domain. 2x^2=0 there for x=0. So. The domain is all real except zero.

Answer 4

except x=0

Answer 5

so for parabolas, domain is always x?

Answer 6

all of x?

Answer 7

For parabolas, lines, and anything that doesn't consist of breaking the rules of mathematical expressions has all reals for domains. Such that the denominator cannot be zero, will restrict the domain.

Answer 8

Wanna explain the range?

Answer 9

The parabola will keep stretching and it will stretch through infinitely many x values. That's why the domain is all reals.

As for Range