Answered

Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

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.

Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.