Fsc Part 1 Mathematics (Complete Solution)

Q2
Repeat Q-1 when A=R,the set of real numbers.which of the real lines are functions.

(i){(x,y) l y=x}

Solution:

A={(x,y) l y=x} is a function.

the graph of this is shown in the figure

(ii) {(x,y) l y+x=5}

Solution:

B={(x,y) l y+x=5} is a function

The graph of this is shown in the figure.

(iii) {(x,y) l x+y < 5}

Solution:

C={(x,y) l x+y < 5} is not a function because Domain is repeated.

the graph of this is shown in the figure.

(iv) {(x,y) l x+y>5}

Solution:

D={(x,y) l x+y>5} is not a function because Domain is repeated.

The graph of this is shown in the figure.

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