Introduction to Rational Functions Lesson Slides: 3 Slides

3 Slides • 6 Questions

1

Intro to Rational Functions

Unit 4

2

Rational numbers.

A rational number is the quotient of two integers.
For example:
$\frac{4}{5}\ or\ 6\ \left(this\ is\ technically\ \frac{6}{1}\right)$

3

Multiple Choice

Is 6/2 a rational number?

1

Yes

2

No

4

Multiple Choice

Is

\frac{\pi}{5}

a rational number?

1

Yes

2

No

5

Multiple Choice

Is 4.5/2 a rational number?

1

Yes

2

No

6

Rational functions.

Functions that are made up of algebraic fractions where both the numerator and denominator are polynomials.
The coefficients of the polynomial must be rational.
$f\left(x\right)=\frac{x^2+1}{x^3+5},\ f\left(x\right)=\frac{x^5+3x^4+4x^2+55}{x^6+x^4+33x^3+21x^2+4},\ f\left(x\right)=\frac{1}{x}$

7

Multiple Choice

Is

f\left(x\right)=\ \frac{\pi+5x}{x^2+1}

a rational function?

1

Yes

2

No

8

Multiple Choice

Is

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

1

Yes

2

No

9

Open Ended

What would happen if

x=-3\

in

f\left(x\right)=\frac{x}{x+3}

?

Type response here

Intro to Rational Functions

Unit 4

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