Answer:
4. The range is -2 ≤ y ≤ 4
5. The domain is {-2 , -1 , 0 , 3.5 , 4.2}
6. The relation is not a function
Explanation:
* Lets explain how to solve the problem
# Question 4:
- The range of the function is the values of all y (output) which is
corresponding to the values of all x (input)
- The figure is a stare, the values of x is from -4 to 4
∴ The domain is -4 ≤ x ≤ 4
- The corresponding values of y are from -2 to 4
∴The range is -2 ≤ y ≤ 4
# Question 5:
- The table represent a relation between x and y
- x is the input of the relation
- y is the output of the relation
∵ The input of the relation is called the domain of it
∴ The domain of the relation is all values of x in the table
- the values of x are -2 , -1 , 0 , 3.5 , 4.2
∴ The domain is {-2 , -1 , 0 , 3.5 , 4.2}
# Question 6:
- The relation can be a function if each ordered pair has a
unique value of x (input)
- That means every x (input) has only one y (output)
- Ex : The relation {(a , b) , (c , d) , (a , f)} is not a function because
the input a has two output b and f
∵ The relation is {(-4 , 0) , (-3 , 0) , (-2 , 1) , (1 , -2) , (-3 , 4)}
∵ The x = -3 has two values of y 0 and 4
∴ The relation is not a function