22.6k views
0 votes
Help me please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Help me please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!-example-1
User Bhish
by
8.3k points

1 Answer

0 votes

Answer:

First choice: (2, 5) (3, 5).
Third choice: (7, -4) (-4, 7) (4, 7)

Fifth choice: (6, 8) (-2, 8) (100, 8), (0.7, 8)

Explanation:

If a(b) is to be a function it must satisfy the vertical line test

What Is Vertical Line Test?

In a vertical line test, you draw a vertical line parallel to the y-axis that cuts the graph. If there is only one point where it cuts the line, then the equation and the graph represent a function

Putting it in other words, there can be only one y-value for a specific x-value. If a single x-value generates more than one y-value it is not function

As an example look at the attached image (this is from the site CueMath)

The graph on the left is y = x² and you can see that any vertical line cuts the graph at only one point. So y = x² is a function

The graph on the right is x = y² and a vertical line drawn will cut the graph at two points so x=y² or equivalently y² = x is not a function

With this knowledge, let's examine each of the 5 choices given


First option: (2, 5) (3, 5).
This can represent a function since for x = 2 there is only one y value and for x = 3 there is only one y value and that is 5. Do not be confused that the y-values are the same for two different x values.

This could represent a horizontal line on the graph

Second option: (5, 2), (5, 3)
This cannot be a function because for the same x value of 5 we get two different y values, 2 and 3

Third option: (7, -4) (-4, 7) (4, 7)
This can represent a function since for any value of x there is a unique value for y. Again it does not matter that -4 and 4 are two different x values which yield the same y value for the reasons specified under option 1

Fourth option: (7, -4) (-4, 7), (-4, -7)
Cannot be a function for reasons stated under option 2. x value of -4 results in two different values for y

Fifth option: (6, 8) (-2, 8) (100, 8), (0.7, 8)
Can represent a function for reasons stated under option 1

User Donavan
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories