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Intro to Rational Functions

Intro to Rational Functions

Assessment

Presentation

Mathematics

11th Grade

Easy

CCSS
HSN.RN.B.3, HSF-IF.C.7B

Standards-aligned

Created by

Mike Kool

Used 15+ times

FREE Resource

3 Slides • 6 Questions

1

Intro to Rational Functions

Unit 4

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2

Rational numbers.

  • A rational number is the quotient of two integers.

  • For example:

     45 or 6 (this is technically 61)\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

 π5\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(x)=x2+1x3+5, f(x)=x5+3x4+4x2+55x6+x4+33x3+21x2+4, f(x)=1xf\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(x)= π+5xx2+1f\left(x\right)=\ \frac{\pi+5x}{x^2+1}   a rational function?

1

Yes 

2

No

8

Multiple Choice

Is

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

1

Yes

2

No

9

Open Ended

What would happen if

 x=3 x=-3\   in  f(x)=xx+3f\left(x\right)=\frac{x}{x+3}  ?

Intro to Rational Functions

Unit 4

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