Observe the linear functions.
\a. \ \
\Graphical.
\Case(i).
\Graph the equation .
The -intercept is
, the
-intercept is
.
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 .
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.