You are watching: Determine whether the equation represents y as a function of x
We are asked to identify if `-y=2x^4+5 ` represents y as a duty of x.
As written, we have actually -y composed as a function of x, so strictly speaking, the answer is no.
However, if we use algebraic manipulation, we deserve to recompose y as a function of x. Multiply each...
Start your 48-hour cost-free trial to unlock this answer and thousands more. Enjoy lutz-heilmann.info ad-complimentary and also cancel anytime.
We are asked to determine if `-y=2x^4+5 ` represents y as a duty of x.
As composed, we have actually -y created as a role of x, so strictly speaking, the answer is no.
However before, if we use algebraic manipulation, we have the right to rewrite y as a duty of x. Multiply each side of the equation by the oppowebsite of 1 to get `y=-2x^4-5 `.
Now `f(x)=y=-2x^4-5 ` is a duty of x. For each input of x, tright here is precisely one output y. (For instance, if x=0, then y=-5, if x=1, then y=-7, and also so on.) We can also check the graph to determine if it passes the vertical line test—if a graph is the graph of a duty, any type of vertical line will cut the graph in simply one location.
Note that many computer system algebra devices (graphing calculators and also so on) require that a relation be written in function develop. In order to graph this feature, we should create the equation as `y=-2x^4-5 `.
See more: Why Do We Build The Wall Lyrics, Patrick Page
Apverified by lutz-heilmann.info Editorial Team
Ask a QuestionAsk a Inquiry
Related QuestionsBrowse All
Latest answer posted August 15, 2010 at 8:53:30 AM
x+ y = 5 2x-y = 4 settle x and y
7 Educator answers
Latest answer posted November 11, 2016 at 12:26:11 AM
`3^(x+4)=6^(2x-5)` Solve the equation.
3 Educator answers
Latest answer posted June 13, 2011 at 1:32:30 PM
Which equation represents a line parallel to the graph of2x − 4y = 16?(1) y=1/2x - 5 (2) y=-1/2x + 4 (3) y= -2x + 6 (4) y= 2x + 8
2 Educator answers
Latest answer posted September 18, 2010 at 3:14:43 AM
solve for x and y: 2x-y = 5 x+y = 3
8 Educator answers
Latest answer posted April 05, 2011 at 1:55:44 AM
Determine whether each pair of equations are parallel, perpendicular or neither.Determine whether each pair of equations are parallel, perpendicular or neither.y=23 - 2Xy=-2x+11
2 Educator answers
lutz-heilmann.info will certainly assist you via any kind of book or any question. Our summaries and analyses are created by professionals, and your inquiries are answered by real teachers. Join lutz-heilmann.info
Apply to be an Educator
©2021 lutz-heilmann.info, Inc. All Rights Reserved