Which of the following set of values is a function? A. (-3, 8), (7, 9), (3, 10), (7, 11) B. (-3, 8), (-3, 9), (-3, 10), (-3, 11) C. (3, 8), (-1, 8), (3, 8), (7, 8) D. (-3, 8), (-1, 9), (3, 10), (7, 11)
Answers
Answer:
A is the correct answer
Step-by-step explanation:
hope it helps u
Step-by-step-Explanation:
Given:
Which of the following set of values is a function? A. (-3, 8), (7, 9), (3, 10), (7, 11)
B. (-3, 8), (-3, 9), (-3, 10), (-3, 11)
C. (3, 8), (-1, 8), (3, 8), (7, 8)
D. (-3, 8), (-1, 9), (3, 10), (7, 11)
To find: Which of the following set of values is a function ?
Solution:
Tip: For every value of x their is a fixed value of y.
i.e. if we put x=3, then get a fixed value of function,let say y=8.
A. (-3, 8), (7, 9), (3, 10), (7, 11)
It cannot be a set of values of a function.
Because of (7,9) and (7,11). On putting x=7, how could a function give two values 9 and 11.
B. (-3, 8), (-3, 9), (-3, 10), (-3, 11)
It cannot be a set of values of a function.
Because on putting x=-3, how could a function give different values 8,9,10 and 11.
C. (3, 8), (-1, 8), (3, 8), (7, 8)
It can be a set of values of a function.
Because no two same element have a two different value.
*This can be a constant function.
D. (-3, 8), (-1, 9), (3, 10), (7, 11)
It can be a set of values of a function.
Because every pair has different value of domain.
No two values of domain have a single image.
Final answer:
C. (3, 8), (-1, 8), (3, 8), (7, 8)
D. (-3, 8), (-1, 9), (3, 10), (7, 11)
Option C and D are correct.
Hope it helps you.
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