for each graph below, state whether it represents a function. graph 1 graph 2 graph 3 function? yes no yes…

for each graph below, state whether it represents a function. graph 1 graph 2 graph 3 function? yes no yes no yes no graph 4 graph 5 graph 6 function? yes no yes no yes no

for each graph below, state whether it represents a function. graph 1 graph 2 graph 3 function? yes no yes no yes no graph 4 graph 5 graph 6 function? yes no yes no yes no

Answer

Explanation:

Step1: Recall vertical - line test

A graph represents a function if and only if any vertical line intersects the graph at most once.

Step2: Analyze Graph 1

There are multiple x - values with more than one y - value, fails vertical - line test.

Step3: Analyze Graph 2

A circle fails the vertical - line test as vertical lines can intersect it at two points.

Step4: Analyze Graph 3

There are x - values for which there are two y - values, fails vertical - line test.

Step5: Analyze Graph 4

There are multiple x - values with more than one y - value, fails vertical - line test.

Step6: Analyze Graph 5

Any vertical line intersects the graph at most once, passes vertical - line test.

Step7: Analyze Graph 6

There are x - values for which there are two y - values (the horizontal segments with two y - values for some x), fails vertical - line test.

Answer:

Graph 1: No Graph 2: No Graph 3: No Graph 4: No Graph 5: Yes Graph 6: No