The graph of a rational function f ( x ) = N ( x ) D ( x ) is shown below. Determine which of the statements about the function is false. Justify your answer. (a) When x = 1 , D ( x ) = 0 . (b) The degree of N ( x ) is equal to the degree of D ( x ) . (c) The ratio of the leading coefficients of N ( x ) and D ( x ) is 1.
The graph of a rational function f ( x ) = N ( x ) D ( x ) is shown below. Determine which of the statements about the function is false. Justify your answer. (a) When x = 1 , D ( x ) = 0 . (b) The degree of N ( x ) is equal to the degree of D ( x ) . (c) The ratio of the leading coefficients of N ( x ) and D ( x ) is 1.
Solution Summary: The author explains the false statement for the graph of the function f(x)=N
The graph of a rational function
f
(
x
)
=
N
(
x
)
D
(
x
)
is shown below. Determine which of the statements about the function is false. Justify your answer.
(a) When
x
=
1
,
D
(
x
)
=
0
.
(b) The degree of
N
(
x
)
is equal to the degree of
D
(
x
)
.
(c) The ratio of the leading coefficients of
N
(
x
)
and
D
(
x
)
is 1.
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