Observe the linear functions.
\a. \ \
\Graphical.
\Case(i).
\Graph the equation
.
The
-intercept is
, the
-intercept is
.
.gif\")
Case(ii).
\Graph the equation
.
The
-intercept is
, there is no
-intercept.

Case(iii).
\Graph the equation
.
The
-intercept is
, the
-intercept is
.

b.Tablular:
\| Function | \One-to-one | \Onto | \
![]() | \
Yes | \Yes | \
![]() | \
No | \No | \
![]() | \
Yes | \Yes | \
c. Verbal:
\No; horizontal lines are neither one-to-one nor onto because only one
-value is used and it is
repeated for every
-value.
Every other linear function is one-to- one and onto because every
-value has one unique
value
that is not used by any other
-element and every possible
-value is used.
a. Graph:
\Graph the equation
.
.gif\")
Graph the equation
.

Graph the equation
.

b.Table
\| Function | \One-to-one | \Onto | \
![]() | \
Yes | \Yes | \
![]() | \
No | \No | \
![]() | \
Yes | \Yes | \
c. No; horizontal lines are neither one-to-one nor onto because only one
-value is used and it is
repeated for every
-value.