Find the domain of the graphed function.

10
-10
N
-10-
x≥0

x is all real numbers.
-9≤x≤5
0≤x≤ 10

1 answer

To provide an accurate response, it would be helpful to understand the specific nature of the graphed function mentioned as well as its characteristics (like continuity, defined intervals, etc.). However, based on what you've provided, I can interpret the domain from the intervals mentioned:

  1. \( x \geq 0 \): This suggests that the function is defined for all non-negative values of \( x \).
  2. \( x \) is all real numbers: This indicates that there are no restrictions on \( x \), so the function could be defined for any real value.
  3. \( -9 \leq x \leq 5 \): This restricts \( x \) to values between -9 and 5, inclusive.
  4. \( 0 \leq x \leq 10 \): This restricts \( x \) to values between 0 and 10, inclusive.

To combine these intervals:

  1. From \( x \geq 0 \) and \( 0 \leq x \leq 10 \), we see that \( x \) can range from 0 to 10.
  2. The interval \( -9 \leq x \leq 5 \) restricts \( x \) further down. Here the overlap with the condition \( 0 \leq x \leq 10 \) means that \( x \) can only be between 0 and 5.

Thus, considering all the intervals specified, the overall domain of the function can be summarized as: \[ \text{Domain} = [0, 5] \]

If the graph showed additional information or features, please provide those details for a more tailored answer!