Find the range of the graphed function.

Ay
10-

x
—10|

10|
-10|
• y is all real numbers.
• y≤0
\ -10 ≤y≤ 0
• -6≤y≤9

1 answer

To determine the range of a function from its graph, we need to look at the vertical extent of the graphed curve. The range consists of all the possible \( y \)-values that the function can take.

From the options you've provided, the potential ranges are:

  1. \( y \) is all real numbers.
  2. \( y \leq 0 \)
  3. \( -10 \leq y \leq 0 \)
  4. \( -6 \leq y \leq 9 \)

To select the correct range, consider the following:

  • If the graph covers all values for \( y \), the correct statement would be that \( y \) is all real numbers.
  • If the graph only extends down to zero or below, choices like \( y \leq 0 \) or \( -10 \leq y \leq 0 \) could apply, depending on the lowest value shown on the graph.
  • If the graph ranges from \( -6 \) to \( 9 \), indicating that those are the minimum and maximum y-values respectively, then the choice would be \( -6 \leq y \leq 9 \).

Since I can't see the graph, you would need to find the lowest and highest \( y \)-values visibly represented on the graph to determine the correct answer. Please review the graph accordingly to determine which range best matches!