i have a cubed root funtion i cannot figure out if the domain and range are correct for.
y=(³√x)(x≤0)
y=(-³√x)(x√0)
i tried the domain and got this.
(-∞,0]
(-∞,0]
please help me find my range and let me know if my domain is correct, thank you
i have a cubed root funtion i cannot figure out if the domain and range are correct for.
y=(³√x)(x≤0)
y=(-³√x)(x√0)
i tried the domain and got this.
(-∞,0]
(-∞,0]
please help me find my range and let me know if my domain is correct, thank you
I assume the second should have a $\displaystyle \leq$ where the square root symbol is...
You're told what the domains are. The domain is the set of values x can take. So in both cases, the domain is $\displaystyle x\leq0$. What you've written in interval notation is also fine.
Remember that the cubed root of a number has the same sign as the original number itself. So the cube root of any negative number stays negative. That means that the range of the first is the same as the domain, i.e. $\displaystyle y \leq 0$.
The second function is a reflection in the x-axis of the first.
So the range of the second function is $\displaystyle y \geq 0$.