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Exploring Excluded Values and Asymptotes in Rational Functions

Exploring Excluded Values and Asymptotes in Rational Functions

Assessment

Interactive Video

Mathematics

8th - 12th Grade

Practice Problem

Hard

CCSS
HSF-IF.C.7D

Standards-aligned

Created by

Sophia Harris

FREE Resource

Standards-aligned

CCSS.HSF-IF.C.7D

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the variable 'a' in a rational function's equation influence?

The position of the vertical asymptote

The excluded values of the function

The orientation and width of the graph

The position of the horizontal asymptote

Tags

CCSS.HSF-IF.C.7D

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is an excluded value in a rational function?

A value that can be substituted for any variable

A value that makes the function reach its maximum

A value of x that cannot be used because it makes the denominator zero

A value that defines the slope of the graph

Tags

CCSS.HSF-IF.C.7D

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the excluded value for the function y = 5 / (X - 2)?

X = 5

X = -2

X = 2

X = 0

Tags

CCSS.HSF-IF.C.7D

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

For the function y = 2 / (X + 3), what is the excluded value?

X = -3

X = 2

X = 0

X = 3

Tags

CCSS.HSF-IF.C.7D

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a rational function has a denominator of X - 5, what is the vertical asymptote?

X = 0

There is no vertical asymptote

X = 5

X = -5

Tags

CCSS.HSF-IF.C.7D

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a horizontal asymptote?

A line the graph touches at its highest or lowest point

A line the graph approaches but never actually touches

A diagonal line that intersects the graph

A vertical line that defines the graph's limit

Tags

CCSS.HSF-IF.C.7D

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the vertical asymptote of a rational function determined?

By the 'k' value in the equation

By the 'h' value in the equation X - h

By setting the numerator equal to zero

By the variable 'a' in the equation

Tags

CCSS.HSF-IF.C.7D

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