Find the range of the graphed function.

10
-10
10
-10-
y≥-4
-4≤y≤8
y is all real numbers.

1 answer

To determine the range of the graphed function based on the provided information, we analyze the statements given.

  1. y ≥ -4: This implies that the function takes on all values greater than or equal to -4.

  2. -4 ≤ y ≤ 8: This statement indicates that the function's values are constrained between -4 and 8, inclusive.

  3. y is all real numbers: This means the function can take any value along the entire y-axis.

Given this information, the most restrictive conditions apply. Since the range specified states that \( y \) must be between -4 and 8, the range of the function can thus be defined as:

\[ [-4, 8] \]

So, the final answer for the range of the graphed function is:

\[ [-4, 8] \]