Graphing and Transforming Absolute Value Functions

Graphing and Transforming Absolute Value Functions

Assessment

Interactive Video

Mathematics

8th - 12th Grade

Hard

Created by

Liam Anderson

FREE Resource

This video tutorial covers graphing absolute value functions, starting with a definition and explanation of absolute value. It discusses how to graph these functions, focusing on their v-shaped graphs and symmetry. The tutorial also explains the domain and range of absolute value functions, using interval notation. It introduces the concepts of even and odd functions, highlighting their symmetrical properties. Finally, the video explores transformations of absolute value functions, providing examples and demonstrating how to graph them with different parameters.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the absolute value of a number represent?

The distance from zero on a number line

The square of the number

The number itself

The negative of the number

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What shape does the graph of an absolute value function typically form?

A straight line

A U-shape

A V-shape

A circle

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the domain of an absolute value function?

Numbers greater than zero

All real numbers

All negative numbers

All positive numbers

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the range of an absolute value function typically described?

All real numbers

All positive numbers including zero

Numbers less than zero

All negative numbers

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does it mean for a function to be even?

It has only positive values

It is symmetrical with respect to the origin

It is symmetrical with respect to the Y-axis

It has only negative values

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the graph of an absolute value function when a negative sign is placed in front of it?

It shifts to the left

It shifts to the right

It flips upside down

It becomes narrower

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the function y = a|x - h| + k, what does the 'h' value represent?

Vertical shift

Y-intercept

Horizontal shift

Slope

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