Study23 Group Title Domain & Range HELP! Please help with two functions. Click here and see the coming soon drawing...UPDATE: Drawing is now available!!! one year ago one year ago

1. Study23 Group Title

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2. satellite73 Group Title

domain of sine is all real numbers

3. satellite73 Group Title

range of sine is $$[-1,1]$$ so range of -3 sine is $$[-3,3]$$ no algebra needed for that one

4. satellite73 Group Title

oh i didn't see the $$+1$$ out at the end. adjust by adding one to get range of $$[-2,4]$$

5. Study23 Group Title

How do I find the domain of the sine equation?

6. satellite73 Group Title

domain of sine is all real numbers, so unless there is some restriction inside, there is no restriction

7. satellite73 Group Title

domain of $$2x^4-5$$ is all reals, so no worries here

8. Study23 Group Title

Okay... What about the second one? I know that the denominator cant equal 0, but what about range??

9. satellite73 Group Title

for range find the range of $\frac{x-2}{x+1}$ and then exclude what you would get if $$x=1$$

10. satellite73 Group Title

since in the original function you know $$x\neq 1$$

11. Study23 Group Title

I'm having difficulty finding the range..

12. satellite73 Group Title

this thing can never be 1 because a fraction is only one if the numerator and denominator are equal, and in this case they are not

13. satellite73 Group Title

other than that, it is all real numbers. so you have only to exclude two values from the range. it cannot be 1 and it cannot be $\frac{1-2}{1+1}=-\frac{1}{2}$ because you are not allowed to evaluate at $$x=1$$

14. satellite73 Group Title

if you want some more math to do to make your teacher happy, solve for $$x$$ in $y=\frac{x-2}{x+1}$

15. satellite73 Group Title

or switch $$x$$ and $$y$$ and solve for $$y$$, either way will do it can you do that algebra?

16. Study23 Group Title

I think I got it now, @satellite73! Thanks so much! I have a Functions Test tomorrow!

17. satellite73 Group Title

good luck!