Question

For what value(s) of k will the relation not be a function?

Answer 1

Answer:

• See below

Step-by-step explanation:

The relation is not a function when x -value is same but y- values are different.

#1

• k^2 = 4k
• k = 0, k = 4

#2

• k^2 - 5k = k + 7
• k^2 - 6k = 7
• k^2 - 6k + 9 = 16
• k - 3 = 4 ⇒ k = 7
• k - 3 = -4 ⇒ k = -1

#3

• k^3 - 5k^2 + 3k = -k
• k^3 - 5k^2 + 4k = 0
• k(k^2 - 5k + 4) = 0
• k = 0, k = 1, k = 4

#4

• |k + 1| + 2 = 8
• |k + 1| = 6
• k = 5, k = -7