38.8k views
2 votes
Is this a function? why or why not? Pls explain your reason for each part meaning part A and Part B : X 5 6 7 8 9

Y 31 28 25 22 19
30 pts!​

Is this a function? why or why not? Pls explain your reason for each part meaning-example-1

1 Answer

7 votes

Answer:

A isn't a function due to there being multiple y values for a singular x value in many cases, and B is a function due to having a singular y value per x value

Explanation:

In algebra there is a test for finding out if something is a function called the "vertical line test". If at any point on a graph, a vertical line (straight up and down) is shown to intersect the curve at multiple points, it's not a function. This is because a function must have just ONE y value for every x value, this is a hard and fast rule in this level of math. When your vertical line hits at more than one point, this rule is violated. On graph A, take x = 0. You clearly see that there are 2 y values, -7 and 17, for just that one x value. Graph A isn't a function.

B is a function since in the table there's only one value of y for each value of x. That's it; it matches the rule. Hypothetically, if it had, say, x = 9, and then y = 19 AND 20, that would be two values of y for one value of x and wouldn't be a function.

User Fawad Masud
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories