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adrianwoods1507
19.02.2021 •
Mathematics
Determine whether the relation represents a function. If it is a function, state the domain and range. {(-3, 7), (2, 5), (5, -3), (8, -2)}
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Ответ:
(a) The relation is a function
(b)
Step-by-step explanation:
Given
(a): Is it a function?
A relation has the form:![\{(x_1,y_1),(x_2,y_2)....(x_n,y_n)\}](/tpl/images/1131/6559/9bec6.png)
For the relation to be a function, all the x values must be unique and not repeated.
In
, the x values are: -3, 2, 5 and 8.
None of the values are repeated.
Hence, the relation is a function
(b): The domain and the range:
The x values represent the domain while the range are represented by the y values.
So, we have:
Ответ:
for the second one, it is : 4 × (2 + 3) - 1 = 19
for the third one, it is 4 + ((3² +1) ÷ 5) = 6
for the fourth one, it is : (3 + 2) × 6 - 3 = 27
for the fifth one, it is : 7 + 4 - (9 ÷ 3) = 8
for the sixth one, it is : (6 ÷ 2) + (4 × 2) = 11
for the seventh one, it is : (3 + 1)² ÷ 4 = 4
for the eight one, it is : (12 + 20) ÷ 4² = 2
for the ninth one, it is : 7 + (7 - 18 ÷ 6)² = 23