What does the graph of $$f(x) = \frac{1}{x}$$ look like?

The graph of $$f(x) = \frac{1}{x}$$ is a hyperbola with vertical and horizontal asymptotes at x=0 and y=0, respectively.

What effect does the transformation $$f(x) = \frac{1}{x - 2}$$ have on the graph of $$f(x) = \frac{1}{x}$$ ?

The transformation shifts the graph of $$f(x) = \frac{1}{x}$$ to the right by 2 units.

What does the transformation $$f(x) = \frac{1}{x} + 2$$ do to the graph?

The transformation shifts the graph of $$f(x) = \frac{1}{x}$$ up by 2 units.

What is the significance of the x-intercept in a rational function?

The x-intercept is the point where the graph crosses the x-axis, found by setting the numerator equal to zero.

What is the significance of the y-intercept in a rational function?

The y-intercept is the point where the graph crosses the y-axis, found by evaluating the function at x=0.

How do you find the x-intercept of the function $$f(x) = \frac{1}{x - 2}$$ ?

Set the numerator equal to zero. Since the numerator is 1, there is no x-intercept for this function.

What is the relationship between the degree of the numerator and the degree of the denominator in determining end behavior?

The end behavior of a rational function is influenced by the degrees of the numerator and denominator; if the numerator's degree is higher, the function will approach infinity or negative infinity.

What is a hole in the graph of a rational function?

A hole occurs in the graph of a rational function at a point where both the numerator and denominator are zero, indicating a removable discontinuity.

How does the graph of $$f(x) = \frac{1}{x - 4} + 1$$ translate the graph of $$f(x) = \frac{1}{x}$$ ?

The graph shifts right 4 units and up 1 unit.

Rational Function Graphs Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a rational function?

Back

2.

FLASHCARD QUESTION

Front

What is the domain of a rational function?

Back

The domain of a rational function is all real numbers except where the denominator is zero.

3.

FLASHCARD QUESTION

Front

What is a vertical asymptote?

Back

4.

FLASHCARD QUESTION

Front

How do you find vertical asymptotes of a rational function?

Back

Vertical asymptotes can be found by setting the denominator of the rational function equal to zero and solving for x.

5.

FLASHCARD QUESTION

Front

What is a horizontal asymptote?

Back

6.

FLASHCARD QUESTION

Front

How do you determine horizontal asymptotes for rational functions?

Back

7.

FLASHCARD QUESTION

Front

Back

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

12 questions

Trennbare Verben

Flashcard

•

KG

8 questions

MATHEMATICS 10 - Graph of Polynomial Functions PART 1

Flashcard

•

10th Grade

8 questions

Accounting Concepts

Flashcard

•

11th Grade

15 questions

Conditional sentences type 2

Flashcard

•

12th Grade

15 questions

Stamped Chapter 1: Understanding Racism

Flashcard

•

10th Grade

10 questions

Printing Press

Flashcard

•

9th - 12th Grade

10 questions

Geometry FD Module 3 Vocab

Flashcard

•

10th Grade

10 questions

stats vocab 5.1 - 5.2

Flashcard

•

12th Grade

Popular Resources on Wayground

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

$fractions$

22 questions

fractions

Quiz

•

3rd Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

15 questions

Equivalent Fractions

Quiz

•

4th Grade

20 questions

Figurative Language Review

Quiz

•

6th Grade

Discover more resources for Mathematics

12 questions

Add and Subtract Polynomials

Quiz

•

9th - 12th Grade

13 questions

Model Exponential Growth and Decay Scenarios

Quiz

•

9th - 12th Grade

27 questions

7.2.3 Quadrilateral Properties

Quiz

•

9th - 12th Grade

10 questions

Key Features of Quadratic Functions

Interactive video

•

8th - 12th Grade

11 questions

Exponent Quotient Rules A1 U7

Quiz

•

9th - 12th Grade

18 questions

Integer Operations

Quiz

•

5th - 12th Grade

15 questions

Exponential Growth and Decay Word Problems

Quiz

•

9th - 12th Grade

10 questions

complementary and Supplementary angles

Quiz

•

9th - 12th Grade