Math, asked by aswjddjaaaskan9036, 1 month ago

for what value(s) of k will not be a function? s= (2-|k+1|,4),(-6, 7)

Answers

Answered by ektae8557
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