What is the reciprocal function

What is the reciprocal function

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial introduces the reciprocal function, starting with the identity function as a foundation. It explains the concept of reciprocals using fractions and demonstrates how to graph the reciprocal function using a table of values. The tutorial further analyzes the graph, highlighting the presence of vertical and horizontal asymptotes, and describes the graph's shape as a hyperbola. The video concludes with a basic introduction to the reciprocal function and its graph.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the identity function's relationship between x and y?

y is equal to x

y is the square of x

y is always 0

y is the reciprocal of x

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reciprocal of the fraction 1/3?

3/1

1/3

3/3

1/1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the reciprocal function defined?

y = 1/x

y = x + 1

y = x^2

y = x - 1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the reciprocal function at x = 0?

It equals infinity

It equals 1

It is undefined

It equals 0

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of y when x = 2 in the reciprocal function y = 1/x?

0

1/2

1

2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of asymptote is present at x = 0 for the reciprocal function?

None

Vertical

Diagonal

Horizontal

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the shape of the graph of the reciprocal function?

Parabola

Circle

Hyperbola

Line

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