Note that the domain and range are
always
written from smaller to larger values, or from left to right for domain, and from the bottom of the graph to the top of the graph for range.
Which side is the domain?
The domain is all x-values or inputs of a function and the range is all y-values or outputs of a function. When looking at a graph, the domain is
all the values of the graph from left to right
. The range is all the values of the graph from down to up.
Is the domain horizontal?
For the cubic function f(x)=x3 f ( x ) = x 3 , the domain is all real numbers because the horizontal extent of the
graph is the whole real number line
. The same applies to the vertical extent of the graph, so the domain and range include all real numbers.
Which direction do you go to find the domain of a function?
When looking at a graph, the domain is all the values of the graph
from left to right
. The range is all the values of the graph from down to up.
How do you write a domain?
We can write the domain and range
in interval notation
Which line is not a function?
The
vertical line
test can be used to determine whether a graph represents a function. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.
Is domain horizontal or vertical?
Explanation: The domain is how much the function takes x-wise, in the
horizontal axis
. As y=−1 is a horizontal line at y=−1 , horizontally-wise it takes all real numbers, from −∞ to +∞ Therefore, the domain is R.
How do you find the domain?
The domain of a function is
the set of all possible inputs for the function
. For example, the domain of f(x)=x2 is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.
Which inequality is used to find the domain?
Greater than equal to inequality
is used to find the domain of the given function.
What is a domain and range?
Domain and Range. The domain of a function is
the set of values that we are allowed to plug into our function
. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
How do you express a domain?
We can write the domain and range in
interval notation
What does XX ∈ R mean?
When we say that x∈R, we mean that x is
simply a (one-dimensional) scalar that happens to be a real number
. For example, we might have x=−2 or x=42.
Why is xa vertical line?
Try this Drag the points A or B and note the line is vertical
when they both have the same x-coordinate
. A vertical line is one the goes straight up and down, parallel to the y-axis of the coordinate plane. All points on the line will have the same x-coordinate.
How do you tell if a line is a function?
Use the vertical line test
How do you tell if a graph is not a function?
If any vertical line intersects a graph more than once
, the relation represented by the graph is not a function. Notice that any vertical line would pass through only one point of the two graphs shown in parts (a) and (b) of the graph above. From this we can conclude that these two graphs represent functions.
