Rational Expressions, Equations and Functions

Consider the following rational function $$f$$ .

$$f\left(x\right)=\frac{9x^4-5x^2-x}{3x-7}$$

Determine $$f's$$ end behavior.

As $$x\rightarrow-\infty$$ , $$f\left(x\right)\rightarrow$$ ​ (a)  

As $$x\rightarrow\infty$$ , $$f\left(x\right)\rightarrow$$ ​ (b)  

Consider the following rational function $$f$$ .

$$f\left(x\right)=\frac{6x^5-5x}{3x^2-7}$$

Determine $$f's$$ end behavior.

As $$x\rightarrow-\infty$$ , $$f\left(x\right)\rightarrow$$ ​ (a)  

As $$x\rightarrow\infty$$ , $$f\left(x\right)\rightarrow$$ ​ ​ (b)  

Consider the following rational function $$f$$ .

$$f\left(x\right)=\frac{6x^5-5x}{3x^5-7}$$

Determine $$f's$$ end behavior.

As $$x\rightarrow-\infty$$ , $$f\left(x\right)\rightarrow$$ ​ (a)  

As $$x\rightarrow\infty$$ , $$f\left(x\right)\rightarrow$$ ​ ​ (b)  

Consider the following rational function $$f$$ .

$$f\left(x\right)=\frac{6x^2-5x}{3x^5-7}$$

Determine $$f's$$ end behavior.

As $$x\rightarrow-\infty$$ , $$f\left(x\right)\rightarrow$$ ​ ​ (a)  

As $$x\rightarrow\infty$$ , $$f\left(x\right)\rightarrow$$ ​ ​ (b)