Frederick is making a graph that contains the ordered pairs (0, 3), (3, 2), (2, 1), and (0, 0). Will his graph represent a funct

Question

3 years ago

11

Frederick is making a graph that contains the ordered pairs (0, 3), (3, 2), (2, 1), and (0, 0). Will his graph represent a funct

ion?
A. No, because it is not a straight line

B. Yes, because it will pass the horizontal line test

C. Yes, because it passes through the origin

D. No, because an x-value is repeated

Mathematics

2 answers:

densk [106] · Answer 1 · 2022-11-28T12:30:52+03:00

densk [106]3 years ago

6 0

Answer:a

Step-by-step explanation:a

givi [52] · Answer 2 · 2022-11-28T14:02:14+03:00

<h3>Answer: D. No, because an x-value is repeated</h3>

That repeated x value is x = 0 due to the two points (0,3) and (0,0) being part of the same function. The input x = 0 maps to more than one output y = 3 and y = 0 at the same time. A function is only possible if any input x leads to exactly one output y. This is only if that x value is in the domain.

Visually, plotting (0,3) and (0,0) together shows that this graph does not pass the vertical line test. It is possible to draw a vertical line through more than one point on this graph. So this is a quick visual way to see that we don't have a function.