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Dividing Functions and Their Domains

Dividing Functions and Their Domains

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Emma Peterson

FREE Resource

This video tutorial explains how to create a new function by dividing two separate functions. It covers finding zeros of functions through factoring and graphing, highlights common misunderstandings in simplification, and demonstrates dividing functions f(x) by g(x) and vice versa. The tutorial emphasizes the importance of considering the domain and avoiding division by zero, using examples and graphs to illustrate these concepts.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary goal when combining a line and a parabola in this lesson?

To create a new function by adding them

To create a new function by multiplying them

To create a new function by dividing them

To create a new function by subtracting them

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a common misunderstanding when simplifying expressions?

That the simplified expression is equal to the original only for positive x

That the simplified expression is always equal to the original for all x

That the simplified expression is never equal to the original

That the simplified expression is only equal to the original for x=0

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When dividing functions, what must be ensured about the denominator?

It should be equal to zero

It should not be zero

It should be greater than zero

It should be less than zero

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the graph of f divided by g of x at x equals 1?

It has a valley

It has a hole

It has a peak

It remains unchanged

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the domain of f divided by g of x?

All real numbers except where both f and g of x equal zero

All real numbers except where f of x equals zero

All real numbers except where g of x equals zero

All real numbers

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the reverse division example, what is the final expression for g divided by f of x?

1 over 2x + 5

x plus 2

2x + 5

x squared minus 4

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What x values are excluded from the domain of g divided by f of x?

x cannot equal 0

x cannot equal 1 and -2.5

x cannot equal 1 and 2

x cannot equal 2 and -3

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