Which of the following relations definesthe function 𝑦=|𝑥|implicitly?
(A) 𝑦=𝑥
(B) 𝑦2=𝑥2
(C) 𝑦3=𝑥3
(D) x𝑦2+𝑥2=1
(E) 𝑥=|𝑦|
recall that |x|
= x is x >= 0
-x if x < 0
so y = ±x
y^2 = x^2
Pick B
(A) 𝑦=𝑥
(B) 𝑦2=𝑥2
(C) 𝑦3=𝑥3
(D) x𝑦2+𝑥2=1
(E) 𝑥=|𝑦|
= x is x >= 0
-x if x < 0
so y = ±x
y^2 = x^2
Pick B