Introduction to Rational Functions

Is  $f\left(x\right)=x^2-6x+2$  a rational function?

• Yes

• No

Is  $f\left(x\right)=1-4^x$  a rational function?

• Yes

• No

Is  $f\left(x\right)=\frac{5}{x}-x$  a rational function?

• Yes

• No

Is  $f\left(x\right)=\frac{x}{x-3}$  a rational function?

• Yes

• No

Is  $f\left(x\right)=\frac{1}{\left(x+1\right)\left(x-1\right)}$  a rational function?

• Yes

• No

A rational function is any function that can be written as the ratio of two...

• Numbers

• Functions

• Polynomials

Describe the transformation of the function below:  $f\left(x\right)=3\left(\frac{1}{x-1}\right)+2$  

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Describe the transformation of the function below:  $f\left(x\right)=\frac{1}{x+3}-1$  

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Describe the transformation of the function below:  $f\left(x\right)=-\left(\frac{1}{x+1}\right)-3$  

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What x-value(s) would make  $f\left(x\right)=\frac{x^2+6x+5}{n+1}$  undefined?

• n = 1

• n = -5

• n = -1

• n = 5