Question

er from each drop-down menu to complete the statement.\
sing to the graph of f are in quadrant iv . the maximum value of graph of f on its range is - choose the correct answer -\
\
4\
-6\
-4\
6

Explanation:

Step1: Analyze the context

The problem is about the graph of a function \( f \), specifically its quadrant and the maximum value in its range. Since it involves graph analysis (likely of a function, maybe a polynomial or trigonometric, but the key is range and quadrant), we need to recall that the range of a function is the set of \( y \)-values (or \( f(x) \)-values) it takes. The maximum value in the range would be the largest \( y \)-value the graph attains.

Step2: Evaluate the options

The options are \( 4 \), \( -6 \), \( -4 \), \( 6 \). We need to determine which is the maximum. Among these numbers, we compare their magnitudes. \( 6 \) is greater than \( 4 \), and both are greater than the negative numbers (\( -6 \) and \( -4 \)). So if the graph's range includes \( 6 \) as the highest value, that would be the maximum. Assuming the graph (not fully shown but from the context of quadrant IV, maybe a function that has a peak at \( 6 \) or similar) has a maximum \( y \)-value of \( 6 \).

Answer:

\( 6 \) (from the options, the maximum value among \( 4, -6, -4, 6 \) is \( 6 \))