How to write a piecewise function from a given graph - Homework help online

How to write a piecewise function from a given graph - Homework help online

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to write a piecewise function from a graph. It begins by identifying three equations from different lines on the graph, each with unique constraints. The tutorial then details how to determine these constraints and compile them into a piecewise function format. The process involves understanding the slope and intercept of each line and applying the appropriate constraints to form a complete piecewise function.

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the slope of a constant line?

Undefined

0

Depends on the y-intercept

1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in writing a piecewise function from a graph?

Calculating the range

Determining the equations of the lines

Identifying the constraints

Finding the x-intercepts

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you determine the domain for a piece of a piecewise function?

By checking the color of the line

By analyzing the constraints on the graph

By identifying the y-intercept

By looking at the slope

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does a closed dot on a graph indicate about the domain?

The value is included

The value is not included

The slope is zero

The line is vertical

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a correct format for a piecewise function?

f(x) = x^2 and x+1

f(x) = x^2, x+1

f(x) = {x^2 if x > 0, x+1 if x <= 0}

f(x) = x^2 for x > 0

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