Q. 3
Question
A set of points in the xy-plane is the graph of a function if and only if every __________ line intersects the graph in at most one point.
Step-by-Step Solution
Verified Answer
A set of points in the xy-plane is the graph of a function if and only if every vertical line intersects the graph in at most one point.
1Step 1. Definition
For a function, no input has more than one output. The domain of a function is the set of all inputs; the range is the set of all outputs.
2Step 2. Final Answer
According to Vertical-line Test, a set of points in the xy-plane is the graph of a function if and only if every vertical line intersects the graph in at most one point.
Other exercises in this chapter
Q. 1
The intercepts of the equation x2+4y2=16 are ______________________________.
View solution Q. 2
True or False: The point -2,-6 is on the graph of the equation x=2y-2.
View solution Q. 4
If the point 5,-3 is a point on the graph of f, thenf5= ________.
View solution Q. 5
Find a so that the point -1, 2 is on the graph of fx=ax2+4.
View solution