Describe the domain of the linear function on the graph. (1 point) Responses −9<x<7 negative 9 less than x less than 7 x is all real numbers. x is all real numbers. −9≤x≤7 negative 9 less-than-or-equal-to x less-than-or-equal-to 7 x≥−9

Answer 1

To accurately describe the domain of a linear function from a graph, you would typically look for the x-values over which the function is defined. Based on the options provided:

• If the line extends indefinitely in both directions, the domain would be "x is all real numbers."
• If the line has endpoints at \( -9 \) and \( 7 \) and includes those points, the domain would be \( -9 \leq x \leq 7 \).
• If the line extends from \( -9 \) to \( 7 \) but does not include those endpoints, the domain would be \( -9 < x < 7 \).
• If the line starts at \( -9 \) and goes infinitely to the right (without an upper limit), the domain would be \( x \geq -9 \).

Without seeing the graph, I cannot provide a definitive answer, but these options reflect typical scenarios for the domain of linear functions. If the line includes the endpoints \( -9 \) and \( 7 \), then the correct choice would be \( -9 \leq x \leq 7 \). If you have a specific graph in mind, please provide additional details for more tailored guidance.

Answer 2

there are no dots and just arrows that stop beneath and above the numbers

Left to right -9 to 7

Answer 3

Given that the graph of the linear function has arrows indicating that the line continues indefinitely in both the negative and positive directions, but the endpoints are \( -9 \) and \( 7 \) without additional points or dots, the correct description of the domain would be:

\(-9 < x < 7\)

This means that \( x \) can take any value strictly between \( -9 \) and \( 7 \), excluding those two endpoints.

Answer 4

actually it'd be (-9, y) and (7, y) There are other points like y in there

Answer 5

Thank you for the clarification. If the linear function extends infinitely in the vertical direction (which means there are corresponding \( y \) values for every \( x \) between \( -9 \) and \( 7 \)), but restricts \( x \) to the interval between \( -9 \) and \( 7 \), then the domain is still:

\(-9 < x < 7\)

Alternatively, if the endpoints are included, the domain would be expressed as:

\(-9 \leq x \leq 7\)

In this case, it seems correct to suggest that \( y \) can take any real value as long as \( x \) stays within the interval of \( -9 \) to \( 7 \).

So depending on whether or not the endpoints \( -9 \) and \( 7 \) are included in the domain:

• If \( x \) is strictly between, it is \( (-9, 7) \) or \( -9 < x < 7 \).
• If \( x \) includes the endpoints, it would be \( [-9, 7] \) or \( -9 \leq x \leq 7 \).

The vertical aspect (all \( y \) values) indicates that for every \( x \) value in that interval, the function can have any real \( y \) value. Would you like to clarify more about whether the endpoints are included?

Answer 6

what do u mean by endpoints?

Answer 7

In the context of intervals, "endpoints" refer to the starting and ending values that define the boundaries of the interval. Here’s a breakdown of the terms:

1. Endpoints: These are the specific values that mark the limits of the interval. For example, in the interval \( (-9, 7) \), the numbers \( -9 \) and \( 7 \) are the endpoints.

2. Open Interval: When the interval is written with parentheses, like \( (-9, 7) \), it means that the endpoints are not included in the interval. Therefore, \( x \) can take any value between \( -9 \) and \( 7 \) but cannot be equal to \( -9 \) or \( 7 \).

3. Closed Interval: When the interval is written with square brackets, like \( [-9, 7] \), it means that the endpoints are included in the interval. Thus, \( x \) can take values between \( -9 \) and \( 7 \), including both \( -9 \) and \( 7 \).

Example:

• Open Interval \( (-9, 7) \): Valid values include \( -8.9, 0, 6.5 \) (but not \( -9 \) or \( 7 \)).
• Closed Interval \( [-9, 7] \): Valid values include \( -9, -8, 0, 6.5, 7 \) (including \( -9 \) and \( 7 \)).

So when we refer to "endpoints," we are considering whether or not those specific boundary values are part of the domain of the function. If your linear function's graph allows for \( x \) to equal \( -9 \) and \( 7 \), then the endpoints are included, and the notation would be \( [-9, 7] \). If those values are not included in the domain, you would use \( (-9, 7) \).

Let me know if you need further clarification!

Answer 8

So if it have closed intervals what answer would it be?

Answer 9

If the linear function includes the endpoints \( -9 \) and \( 7 \), as indicated by closed intervals, the correct way to describe the domain would be:

\[ [-9, 7] \]

In terms of inequalities, this would be expressed as:

\[ -9 \leq x \leq 7 \]

This means that \( x \) can take any value from \( -9 \) to \( 7\), including the endpoints \( -9 \) and \( 7 \) themselves.