Understanding Piecewise and Unit Step Functions

Understanding Piecewise and Unit Step Functions

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to derive a unit step function and a piecewise defined function from a given graph. It starts with an introduction to the problem, followed by a detailed explanation of constructing a unit step function. The tutorial then transitions to defining the function in a piecewise manner, discussing domain pieces and their corresponding outputs. The video concludes with encouragement for practice and a preview of more complex functions in future lessons.

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19 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main goal of the video tutorial?

To learn about integration techniques

To solve a differential equation

To understand the properties of logarithmic functions

To obtain a unit step function and a piecewise defined function from a graph

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial value of the function h(t) in the unit step function?

0

1

2

3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

At what point does the function h(t) first decrease in the unit step function?

t = -3

t = -2

t = 1

t = 0

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How much does the function h(t) decrease at t = -2?

3

4

2

1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of the function h(t) after it jumps at t = 1?

4

3

2

0

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final value of the function h(t) in the unit step function?

0

2

3

1

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of the function h(t) at t = 3 in the unit step function?

4

0

1

2

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