a) 16x^2-y^2=0
y^2 = 16 x^2
y = + 4 x or y = -4x
well y is not a unique function of x. There are two possible values of y for any old x
b) 16-lxl=4y
y = 4 - |x| /4
for every value of x there is one and only one value of y
Determine whether the given equation represents y as a function of x and explain how you know.
a) 16x^2-y^2=0
b) 16-lxl=4y
thank you!
2 answers
(a) 16x^2 = y^2
not a function, since there are two values of y for almost all of the values of x.
Fails the vertical-line test.
(b) yes. each x has a unique |x|.
not a function, since there are two values of y for almost all of the values of x.
Fails the vertical-line test.
(b) yes. each x has a unique |x|.