Identify whether the relations represent “y” as a function of

amanf

amanf

Answered question

2021-08-15

Identify whether the relations represent “y” as a function of “x”.
a) 4x+y2=7
b) 2x2+y=12
c) x2+y2=49
d) y=8x2+20x

Answer & Explanation

bahaistag

bahaistag

Skilled2021-08-16Added 100 answers

a) 4x+y2=7 is not a function, because we get different values of y for same x.
b) 2x2+y=12 is a function, because by vertical line test we get a different/same value for different x. It is many-to-one relation.
c) x2+y2=49 is not a function, because in vertical line test vertical lines intersect graph at two points on same x.
d) y=8x2+20x is a function, because on vertical line test vertical lines intersect at one point only.

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