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Does this graph show a function? Explain how you know.
A. Yes; there are no y-values that have more than one x-value.
B. No; there are y-values that have more than one x-value.
C. Yes; the graph passes the vertical line test.
D. No; the graph fails the vertical line test.

Does This Graph Show A Function Explain How You Know A Yes There Are No Yvalues That Have More Than One Xvalue B No There Are Yvalues That Have More Than One Xv class=

Sagot :

mathstudent55

Answer:

no

Step-by-step explanation:

This graph does not represent a function because it does not pass the vertical line test.

The vertical line test is a method to determine if a relation is a function using the graph of the relation.

To run the vertical line test, you imagine a vertical line moving from left to right over the graph. If at any single position of the vertical line, the vertical line intersects more than 1 point on the graph, then the graph does not show a function.

To run the vertical line test on this graph, imagine a vertical line on the left side of the graph going through x = -7.

The vertical line moves to the right. From x = -7 to just to the left of x = -4, the line does not intersect the graph at all.

At x = -4, the line intersects 1 point of the graph.

From just right of x = -4 to just left of x = 4, the line intersects 2 points of the graph.

At x = 4, the vertical line intersects 1 point on the graph.

To the right of x = 4, the line does not intersect the graph any more.

The important part for deciding whether or not this graph is a function is from x just to the right of -4 to x just to the left of 4. A vertical line in any position that passes through an x value between x = -4 and x = 4 intersects 2 points on the graph. That means the graph is not a function.

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