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

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.

What is the slope of a constant line?

• Undefined

• 0

• Depends on the y-intercept

• 1

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

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

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

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