a The domain of a function is the set of all possible x-values. The range is the set of all possible y-values.
B
b The domain of a function is the set of all possible x-values. The range is the set of all possible y-values.
C
c The domain of a function is the set of all possible x-values. The range is the set of all possible y-values.
D
d The domain of a function is the set of all possible x-values. The range is the set of all possible y-values.
A
a Domain: {0,1,2}
Range: {1,0,- 2 }
B
b Domain: - 1≤ x ≤ 1
Range: - 1≤ y ≤ 2
C
c Domain: x ≤ 2
Range: y ≥ - 2
D
d Domain: All real numbers
Range: y ≥ - 1
Practice makes perfect
a To find the x-coordinate of a point, we move vertically until we hit the x-axis. Similarly, to find the y-coordinate, we move horizontally until we hit the y-axis.
Now let's list the ordered pairs that we found.
(0,1),(1,0),(2,-2)
The domain of a function is found by listing the relation's x-values. The range is found by listing the relation's y-values.
Domain:& {0,1,2 }
Range:& {1,0,- 2 }
b To begin, let's take a look at the given graph.
The domain of a function is the set of all possible x-values. The range is the set of all possible y-values. Notice that, horizontally, our graph spans from x=- 1 to x=1. These values are the lower and upper boundaries of our domain.
Domain: - 1≤ x ≤ 1
Meanwhile, vertically, our graph spans from y=- 1 to y=2. These values are the lower and upper boundaries of our range.
Range: - 1≤ y ≤ 2
c To begin, let's take a look at the given graph.
The domain of a function is the set of all possible x-values. The range is the set of all possible y-values. Notice that all x-values are less than or equal to 2. This value is the upper boundary of our domain.
Domain: x ≤ 2
Meanwhile, all y-values are greater than or equal to - 2. This value is the lower boundary of our range.
Range: y ≥ - 2
d To begin, let's take a look at the given graph.
The domain of a function is the set of all possible x-values. The range is the set of all possible y-values. Notice that
our function extends all along the x-axis, so the domain is all real numbers.
Domain: All real numbers.
Meanwhile, all y-values are greater than or equal to - 1. This value is the lower boundary of our range.
Range: y ≥ - 1
