Question

Section 3 - Topic 1 What is a Function? 1. A group of students were discussing whether the relationship on the graph is o function Ed: The relotionship is not a function because if I craw a horizontal line at y= 2, the horizon al line crosses the graph ot two points. Debra: The relationship is a function because it is a graph of two different Alejandro: The relationship is not a function because x = 1 has two different y-values. Antoine: The relationship is a function because I can write an equation for diline. Which students are not correct and whot is the flow in their argument:​

Answer 1

See below

Explanation:

Refer to attached

Ed: The relationship is not a function because if I craw a horizontal line at y= 2, the horizon al line crosses the graph of two points.

• Incorrect as correct test is vertical line test. Correct statement = it is not a function.

Debra: The relationship is a function because it is a graph of two different

lines

• Incorrect as it is not a function. Correct statement = there are two different lines

Alejandro: The relationship is not a function because x = 1 has two different y-values.

• Correct, it is referring to vertical line test

Antoine: The relationship is a function because I can write an equation for a line

• Incorrect as it is not a function. Correct statement = each line will have own equation. But there are overlapping interval x = (0, 2) which should be excluded from one of the lines.