Asymptotes

Asymptotes

Assessment

Flashcard

Mathematics

10th - 12th Grade

Hard

CCSS
HSF-IF.C.7D, HSF-IF.C.7A, HSA-REI.B.4B

+1

Standards-aligned

Created by

Wayground Content

FREE Resource

Student preview

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15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is an asymptote?

Back

An asymptote is a line that a graph approaches but never touches or intersects. It can be vertical, horizontal, or oblique.

Tags

CCSS.HSF-IF.C.7D

2.

FLASHCARD QUESTION

Front

How do you find vertical asymptotes of a rational function?

Back

Vertical asymptotes occur where the denominator of a rational function is equal to zero, provided that the numerator is not also zero at those points.

Tags

CCSS.HSF-IF.C.7D

3.

FLASHCARD QUESTION

Front

What is a horizontal asymptote?

Back

A horizontal asymptote is a horizontal line that the graph of a function approaches as the input values (x) approach positive or negative infinity.

Tags

CCSS.HSF-IF.C.7D

4.

FLASHCARD QUESTION

Front

How do you determine the horizontal asymptote of a rational function?

Back

To find the horizontal asymptote, compare the degrees of the numerator and denominator: If the degree of the numerator is less than the degree of the denominator, y=0; if they are equal, y = leading coefficient of numerator / leading coefficient of denominator; if the numerator's degree is greater, there is no horizontal asymptote.

Tags

CCSS.HSF-IF.C.7D

5.

FLASHCARD QUESTION

Front

What is the significance of the solutions to a quadratic equation?

Back

The solutions to a quadratic equation represent the x-intercepts of the graph of the function, indicating where the graph crosses the x-axis.

Tags

CCSS.HSF-IF.C.7A

6.

FLASHCARD QUESTION

Front

What does it mean to solve by factoring?

Back

Solving by factoring involves rewriting a polynomial equation as a product of its factors and then setting each factor equal to zero to find the solutions.

Tags

CCSS.HSA-REI.B.4B

7.

FLASHCARD QUESTION

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the solutions of a quadratic equation ax² + bx + c = 0.

Tags

CCSS.HSA-REI.B.4B

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