Functions (mathematics)/Graphs/Linear function

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Linear function

f(x)=x

f(x)=-x

f(x)=ax

f(x)=-ax

f(x)=ax+b

f(x)=-ax+b

Graphs

$f(x)=x$

Let f(x)=y . Then the value of y for all x are

x:	-3	-2	-1	0	1	2	3
y:	-3	-2	-1	0	1	2	3

Plot these x,y gives a graph of a straight line which has positive slope of 1 that pass through origin at (0,0)

$f(x)=-x$

Let f(x)=y . Then the value of y for all x are

x:	-3	-2	-1	0	1	2	3
y:	3	2	1	0	1	2	3

Plot these x,y gives a graph of a straight line which has negative slope of 1 that pass through origin at (0,0)

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