On graph there is an upward v shape points (3,0), and (0,3)

Question

What is the domain

Answer 1

The points you mentioned, (3, 0) and (0, 3), suggest a linear segment that connects these two points in the Cartesian plane. The line segment creates a V shape that opens upwards.

To determine the domain of this V shape, we need to consider the x-values covered by the line segment connecting (3, 0) and (0, 3).

• The left endpoint of the segment is at x = 0.
• The right endpoint of the segment is at x = 3.

Thus, the x-values (domain) spanned by this segment are between 0 and 3, inclusive.

Therefore, the domain is:

\[ \text{Domain: } [0, 3] \]

This means x can take any value from 0 to 3, including both endpoints.

Answer 2

All real numbers greater than or equal to 0
All real numbers
All real numbers between-6 and 4
All real numbers greater than -2

Answer 3

To determine which of the provided options is the correct domain for the V-shaped graph defined by the points (3, 0) and (0, 3), let's analyze each option:

1. All real numbers greater than or equal to 0: This would imply that the graph extends to the right without bound and includes all x-values starting from 0. This option is not correct because the V shape only covers x-values from 0 to 3.

2. All real numbers: This would imply that the graph extends infinitely in both directions along the x-axis. This option is not correct for the same reason; the graph is limited to x-values between 0 and 3.

3. All real numbers between -6 and 4: This option suggests the x-values range from -6 to 4. While this option includes the interval from 0 to 3, the inclusion of values between -6 and 0 is unnecessary and incorrect for the V shape. This option is not correct.

4. All real numbers greater than -2: This option implies that all x-values starting from -2 are included. While the segment does include values greater than -2, this option is broader than necessary and also includes values not present in the V shape, making it not correct.

Given these analyses, the correct domain for the V-shaped graph discussed is limited to the interval you initially derived, which is \([0, 3]\). However, since none of the options you provided match this domain, the answer flows back to the analysis of your specific V shape, which is constrained to that defined interval.

To summarize, the correct domain based on the points (3, 0) and (0, 3) in the specific context should be:

Domain: [0, 3]

None of the provided options accurately reflect this domain.