231k views
0 votes
Which of the following equations satisfies that y is a function of 2?

Give your answer as a comma-separated list of the labelling letters, such as A,B,C.
A: 4cy - 61 = y + 5
B: y2 - 51 = 6
C: y = 6 -3.
D: y2 + 2y = -1
E: 1 + y = 7
F:5 - 6y +3=0
G: y = 2.-5
H: y10 = 81 - 1

User Gertas
by
3.3k points

1 Answer

2 votes

Answer:

A, C, F

Explanation:

Given:

A : 4xy- 6x = y + 5

B: y^2-5x = 6

C: y^3 = 6-3x

D: y^2 + 2y =-x

E: |x+y| = 7

F: 5x - 6y + 3 = 0

G: |y| = 2x - 5

H: y^l0-8x- 1

Find:

Which equations graph as a function of x.

Solution:

Even-degree polynomial terms in y, and absolute-value expressions involving y can result in a given x-value being mapped to multiple y-values. When that is the case, the relation is not a function.

The relations that are functions of x are ...

A, C, F

__

The others are not, because ...

  • even-degree in y: B, D, H
  • absolute value in y: E, G
User Jhyap
by
3.6k points