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Piecewise Functions and Graphing Concepts

Piecewise Functions and Graphing Concepts

Assessment

Interactive Video

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to graph a piecewise function, find its domain and range, and identify key points such as intercepts and holes. The instructor demonstrates the process step-by-step, highlighting the importance of understanding inequalities and their impact on graphing. The tutorial concludes with a discussion on the domain and range, emphasizing the inclusion of all possible x and y values.

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29 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main objective of the problem discussed in the video?

To graph a piecewise function and find its domain and range

To calculate the area under a curve

To solve a quadratic equation

To differentiate a polynomial function

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in graphing a piecewise function?

Calculating the slope

Drawing the y-axis and x-axis

Identifying the range

Finding the x-intercept

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does a strict inequality in a piecewise function indicate?

A vertical line

A hole or open circle

A dashed line

A solid dot

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the y-value of a hole in a piecewise function?

By finding the slope

By using the midpoint formula

By setting y equal to zero

By plugging the x-value into the function

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the x-intercept of a line?

The point where the line crosses the y-axis

The midpoint of the line

The point where the line crosses the x-axis

The slope of the line

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the x-intercept of a line?

Set y equal to zero

Set x equal to zero

Find the slope

Use the quadratic formula

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of a positive slope in a line?

The line goes downwards

The line goes upwards

The line is vertical

The line is horizontal

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