lolozie
Answered

Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Discover a wealth of knowledge from professionals across various disciplines on our user-friendly Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Determine whether the relation y^2 - 4x = 3 represents y as a function of x ​

Sagot :

absor201

Answer:

The relation [tex]y^{2} - 4x = 3[/tex] does not represent y as a function of x.

Step-by-step explanation:

Consider the relation

[tex]y^{2} - 4x = 3[/tex]

[tex]y=\pm \sqrt{4x+3}[/tex]

Thus, the equation [tex]y=\pm \sqrt{4x+3}[/tex] does not represent function because there is at least one x-value with two or more values.

For example, if you look at the attached graph,

at x = 0, y = 1.73

at x = 0 , y = -1.73

It means the same input is generating two outputs; also if we draw a vertical line on the graph, the vertical line would intersect the graph more than once.

Please check the red vertical line on the graph would intersect the graph more than once.

Therefore, the relation [tex]y^{2} - 4x = 3[/tex] does not represent y as a function of x.

View image absor201
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.