amanf

2021-08-15

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

a)$4x+{y}^{2}=7$

b)$2{x}^{2}+y=12$

c)${x}^{2}+{y}^{2}=49$

d)$y=-8{x}^{2}+20x$

a)

b)

c)

d)

bahaistag

Skilled2021-08-16Added 100 answers

a) $4x+{y}^{2}=7$ is not a function, because we get different values of y for same x.

b)$2{x}^{2}+y=12$ is a function, because by vertical line test we get a different/same value for different x. It is many-to-one relation.

c)${x}^{2}+{y}^{2}=49$ is not a function, because in vertical line test vertical lines intersect graph at two points on same x.

d)$y=-8{x}^{2}+20x$ is a function, because on vertical line test vertical lines intersect at one point only.

b)

c)

d)

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?

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