Algebra Week 2 Equestion Functions Exercise Problems Help

1) For the previous problem you worked on (Please see attachment) please spell out the answer to the question: Does the equation represent y as a function of x? (Note that your post does not include the word “function” at all.)

Please reply to specifically address the question. (This feedback is from my professor) Thank you!

2)

Sol: 𝑥 3 𝑦 = −4
Dividing by x3 on both sides, we get
𝑥 3𝑦
4
=
−
𝑥3
𝑥3
4
𝑦=− 3
𝑥
Hence.
Also, from the above equation, we can see that y depends on the values of x
except x = 0, So domain of the equation is
𝐷𝑜𝑚𝑎𝑖𝑛 = (−∞, 0) ∪ (0, ∞)
And the range of the function is
𝑅𝑎𝑛𝑔𝑒 = (−∞, 0) ∪ (0, ∞)