Chapter 4, Problem 4CCSR

To determine

To find which point is missing.

Answer to Problem 4CCSR

Option G is correct.

Explanation of Solution

Given:

Consider the graph given below

Calculation:

Observe that the points on the graph are $(-3,-2),(-2,2),(1,-1),(1.5,-2)$ . If relation is not a function, then the vertical line test must fail for one or more of these points. For this to happen one of the points among the four given points must have the same coordinate as one of the points on the given graph. So match the abscissa of the four given points with the points on the graph.

Abscissa of the point $(0,0)$ does not match with abscissa of any point on the graph.

Abscissa of the point $(-1,2)$ does not match with abscissa of any point on the graph.

Abscissa of the point $(1,1)$ matches with the abscissa of the point $(1,-1)$ on the graph. So the vertical line passing through these two points passes through more than one point on the graph. This has been shown by a blue line on the graph

Abscissa of the point $(2,-2)$ does not match with abscissa of any point on the graph.

Therefore the point $(1,1)$ given at option G is missing from the graph.