Answer:
No (not a function)
Step-by-step explanation:
Begin by isolating the y-term to find
−3x−y2−y2y2=−1=3x−1=−3x+1
For each value of x, we multiply it by −3, add 1, and then take the square root to get the y-value. For example, if x=−8, we have
y2y2y2y=5=−3x+1=−3(−8)+1=25ory=−5
We have that if x=−8, then y=5 or y=−5. In other words, a single value of x results in more than one value of y. Since some value of x corresponds to more than one value of y, the equation does not define a function.
