for each function graphed below, state whether it is one - to - one. graph 1 one - to - one? yes no graph 2…

for each function graphed below, state whether it is one - to - one. graph 1 one - to - one? yes no graph 2 one - to - one? yes no graph 3 one - to - one? yes no graph 4 one - to - one? yes no graph 5 one - to - one? yes no graph 6 one - to - one? yes no

for each function graphed below, state whether it is one - to - one. graph 1 one - to - one? yes no graph 2 one - to - one? yes no graph 3 one - to - one? yes no graph 4 one - to - one? yes no graph 5 one - to - one? yes no graph 6 one - to - one? yes no

Answer

Explanation:

Step1: Recall one - to - one test

Use the horizontal line test. If any horizontal line intersects the graph of the function at more than one point, the function is not one - to - one.

Step2: Analyze Graph 1

A horizontal line can intersect the wave - like graph at multiple points. So it is not one - to - one.

Step3: Analyze Graph 2

A horizontal line above the vertex of the parabola - like graph will intersect it at two points. So it is not one - to - one.

Step4: Analyze Graph 3

Any horizontal line will intersect the straight - line graph at exactly one point. So it is one - to - one.

Step5: Analyze Graph 4

No horizontal line will intersect the set of discrete points at more than one point. So it is one - to - one.

Step6: Analyze Graph 5

A horizontal line can be drawn to intersect the line segment (with a hole) at more than one point. So it is not one - to - one.

Step7: Analyze Graph 6

No horizontal line will intersect the set of discrete points at more than one point. So it is one - to - one.

Answer:

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