Understanding Rational Functions

Understanding Rational Functions

Assessment

Interactive Video

Mathematics

8th - 12th Grade

Practice Problem

Hard

CCSS
HSF-IF.C.7D, HSF-IF.C.7E, HSF.BF.B.3

Standards-aligned

Created by

Olivia Brooks

FREE Resource

Standards-aligned

CCSS.HSF-IF.C.7D
,
CCSS.HSF-IF.C.7E
,
CCSS.HSF.BF.B.3
This video tutorial explains how to find the domain of a rational function, identify vertical and horizontal asymptotes, and graph the function using a graphing calculator. It covers setting the denominator to zero to find excluded values, using these values to determine vertical asymptotes, and plotting the function by selecting appropriate x-values. The tutorial also discusses the behavior of the function as x approaches infinity, leading to a horizontal asymptote.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in determining the domain of a rational function?

Graphing the function

Using a graphing calculator

Setting the denominator equal to zero

Finding the zeros of the numerator

Tags

CCSS.HSF-IF.C.7D

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens at the values where the denominator of a rational function is zero?

The function has vertical asymptotes

The function is defined

The function has a hole

The function crosses the x-axis

Tags

CCSS.HSF-IF.C.7D

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why are vertical asymptotes important when sketching a graph?

They indicate where the graph will cross the x-axis

They show where the graph will approach but never cross

They determine the y-intercept

They are points where the graph is undefined

Tags

CCSS.HSF-IF.C.7E

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which values should be selected when setting up a table of values for graphing?

Only negative values

Only positive values

Values close to the excluded values

Values far from the excluded values

Tags

CCSS.HSF-IF.C.7E

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What feature of the graphing calculator is used to complete the table of values?

Trace feature

Table feature

Graph feature

Zoom feature

Tags

CCSS.HSF.BF.B.3

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of the symmetry observed in the graph of a rational function?

It helps in predicting y-values

It indicates the function is linear

It shows the function is quadratic

It is irrelevant to graphing

Tags

CCSS.HSF-IF.C.7D

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the value of a rational function as the denominator becomes very large?

The function value remains constant

The function value becomes undefined

The function value approaches zero

The function value approaches infinity

Tags

CCSS.HSF-IF.C.7D

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