Answer:
#1: (D) all real numbers greater than or equal to -3
#2: (D) It is not a function because there are two different y-values for a single x-value
#3: (A) all real numbers
#4: (B, C)
#5: (B) y = -9, -3, 0, 5, 7
Explanation:
Question 1:
The domain of the function is all the input values, or the x values. The graph extends all the way to right infinitely. However, to the left, it ends at -3. Because the dot is filled, that means the domain INCLUDES -3. So it's (D).
Question 2:
By definiton, a function is a relation between a set of inputs and a set of outputs. However, each input only has ONE output.
If you noticed, there are two points: (4, 4) & (4, -2)
There are two different y-values, 4 & -2, for one x-value, 4.
Question 3:
The graph extends infinitely both directions, so it's all real numbers.
Question 4:
The amount of water DEPENDS on the amount of rice you put in, so the amount of water is the dependent variable. The rice doesn't depend on the amount of water, so it's the independent variable. (By the way, it's not the last option because you need two options)
Question 5:
The range of the function is the y values. So you are only going to put the y values from the coordinate points in the range. Thus, (B) is the answer.
Hope it helps (●'◡'●)