for each graph below, state whether it represents a function.
for each graph below, state whether it represents a function.
Answer
Answer:
Graph 1: Yes Graph 2: Yes Graph 3: No Graph 4: Yes Graph 5: No Graph 6: Yes
Explanation:
Step1: Recall vertical - line test
A graph represents a function if any vertical line intersects the graph at most once.
Step2: Analyze Graph 1
Any vertical line will intersect the graph at most once, so it is a function.
Step3: Analyze Graph 2
Any vertical line will intersect the graph at most once, so it is a function.
Step4: Analyze Graph 3
A vertical line through the middle of the diamond - shaped graph will intersect it at two points, so it is not a function.
Step5: Analyze Graph 4
Since it is a set of discrete points and no vertical line will pass through more than one point, it is a function.
Step6: Analyze Graph 5
A vertical line to the right of the y - axis will intersect the graph at two points, so it is not a function.
Step7: Analyze Graph 6
Since it is a set of discrete points and no vertical line will pass through more than one point, it is a function.