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Graphing Reciprocals of Quadratic Functions

Graphing Reciprocals of Quadratic Functions

Assessment

Interactive Video

•

Mathematics

•

6th - 10th Grade

•

Practice Problem

•

Hard

•
CCSS
HSF-IF.C.7D, HSF-IF.C.7B

Standards-aligned

Created by

Sophia Harris

FREE Resource

Standards-aligned

CCSS.HSF-IF.C.7D
,
CCSS.HSF-IF.C.7B
The video tutorial explains how to graph reciprocal functions by first sketching the denominator function, whether quadratic or linear. It covers the process of identifying zeros, understanding the behavior of reciprocal functions, and analyzing special cases with different numbers of zeros. The tutorial also discusses the domain, range, and asymptotes of these functions, providing a comprehensive guide to understanding and sketching reciprocal functions.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it helpful to sketch the denominator function when graphing reciprocal functions?

It is required by graphing rules.

It helps in understanding the behavior of the reciprocal function.

It makes the graph easier to erase.

It makes the graph look more colorful.

Tags

CCSS.HSF-IF.C.7D

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in graphing the function y = 1 / (x^2 - 2x - 3)?

Graphing the reciprocal function directly.

Identifying the zeros of the quadratic function.

Finding the vertex of the quadratic function.

Sketching the quadratic function.

Tags

CCSS.HSF-IF.C.7D

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the reciprocal function at the zeros of the quadratic function?

It becomes zero.

It has a vertical asymptote.

It becomes a horizontal line.

It intersects the x-axis.

Tags

CCSS.HSF-IF.C.7B

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many branches does the reciprocal function have when the quadratic function has two zeros?

Three

Two

One

Four

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the y-value of the vertex for the quadratic function x^2 - 2x - 3?

1

3

-4

0

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the range of the reciprocal function y = 1 / (x^2 - 2x - 3)?

All y-values except 0

All y-values greater than 0

All y-values less than or equal to -1/4 and greater than 0

All y-values less than or equal to 1/4 and greater than 0

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the domain of the reciprocal function y = 1 / (-x^2 - 2)?

All x-values except 2

All real numbers

All x-values except 0

All x-values except -2

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