a. Identify the horizontal asymptote (if any).
b. If the graph of the function has a horizontal asymptote, determine the point where the graph crosses the
horizontal asymptote.
-$$f ( x ) = \frac { 7 } { x ^ { 2 } - 7 x + 9 }$$
A) a. $y = 0$
b. $( 0,0 )$

B) a. $y = 7$
b. $( 0,7 )$

C) a. $y = 0$
b. Graph does not cross $y = 0$.

D) a. No horizontal asymptote
b. Not applicable

Question

a. Identify the horizontal asymptote (if any).
b. If the graph of the function has a horizontal asymptote, determine the point where the graph crosses the
horizontal asymptote.
-$$f ( x ) = \frac { 7 } { x ^ { 2 } - 7 x + 9 }$$
A) a. $y = 0$
b. $( 0,0 )$

B) a. $y = 7$
b. $( 0,7 )$

C) a. $y = 0$
b. Graph does not cross $y = 0$.

D) a. No horizontal asymptote
b. Not applicable

Quizplus · Accepted Answer

For the given function $f(x) = \frac{7}{x^2 - 7x + 9}$, the degree of the polynomial in the denominator is higher than the degree of the polynomial in the numerator, which means the horizontal asymptote is $y = 0$. Since the denominator can never be zero (it doesn't factor to real roots), the graph does not cross the horizontal asymptote.

A Identify the Horizontal Asymptote (If Any) f(x)=7x2−7x+9f ( x ) = \frac { 7 } { x ^ { 2 } - 7 x + 9 }f(x)=x2−7x+97​

A Identify the Horizontal Asymptote (If Any) $f ( x ) = \frac { 7 } { x ^ { 2 } - 7 x + 9 }$