for what value(s) of k will not be a function? s= (2-|k+1|,4),(-6, 7)
Answers
Answered by
0
Answer:
A relation is the relationship between variables. When each input has one output, the relation is a function. When the value of k is 5 or 3, the relation will not be a function.
Given that:
S= \{(2-|k+1|,4), (-6,7)\}S={(2−∣k+1∣,4),(−6,7)}
For S, not to be a function, 1 domain element must point to more than one range elements.
This means that:
2-|k+1| = 62−∣k+1∣=6
Collect like terms
-|k+1| = 6 - 2−∣k+1∣=6−2
-|k+1| = 4−∣k+1∣=4
Multiply by -1
|k+1| = -4∣k+1∣=−4
Remove absolute bracket
k+1 = -4\ or\ k+1 = 4k+1=−4 or k+1=4
Solve for k
k =-1 -4\ or\ k= -1+4k=−1−4 or k=−1+4
k =-5\ or\ k= 3k=−5 or k=3
Hence, when k is 5 or 3, the relation will not be a function.
Read more about functions and relations at:
Similar questions
Political Science,
26 days ago
Social Sciences,
26 days ago
English,
1 month ago
Math,
10 months ago
Math,
10 months ago
Math,
10 months ago