Choose ,begin emphasis,all,end emphasis, of the functions that are nonlinear. Answer options with 5 options A. y equals 4 minus 2 x B. y equals StartFraction 5 over 6 x EndFraction minus 2 C. y equals StartFraction 21 over 31 EndFraction x minus 7 D. y equals 8 left-parenthesis x minus 1 right-parenthesis E. y equals x left-parenthesis 2 x plus 4 right-parenthesis
Question
Choose ,begin emphasis,all,end emphasis, of the functions that are nonlinear.
Answer options with 5 options A. y equals 4 minus 2 x
B. y equals StartFraction 5 over 6 x EndFraction minus 2
C. y equals StartFraction 21 over 31 EndFraction x minus 7
D. y equals 8 left-parenthesis x minus 1 right-parenthesis
E. y equals x left-parenthesis 2 x plus 4 right-parenthesis
Solution
The only nonlinear function in the given options is:
E. y equals x left-parenthesis 2 x plus 4 right-parenthesis
This is because it is the only function where the variable x is raised to a power other than 1. In this case, the function can be rewritten as y = 2x^2 + 4x, which is a quadratic function, a type of nonlinear function. All the other options represent linear functions because they can be written in the form y = mx + b, where m and b are constants.
Similar Questions
Is the function y=–5x2–5x–6 linear or nonlinear?linearnonlinearSubmit
Is the function y=6–56x linear or nonlinear?
From the list of equations below, choose the ones that are functions:Question 1Select one or more:a.y=4x2+25x+25𝑦=4𝑥2+25𝑥+25b.y=(√2x−1)𝑦=(2𝑥−1)c.y=−3𝑦=−3d.y=3x𝑦=3𝑥e.x=y6𝑥=𝑦6f.|y−1|=2x+6|𝑦−1|=2𝑥+6g.x2+y2=4𝑥2+𝑦2=4h.x=7
Solve the Nonlinear equation in a)Substitution Methods b)Graphical Methods 1. y = 2x2 ------------------① 2x – y + 4 = 0 ----------② 2. x2 + y2 = 25 ------------① 2x – 3y = - 6 ------------② 3. x2 – 4y2 = 200 ---------① x + 2y = 100 ---------②
f x=2 then y=8. Which of these functions could be correct?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.