0. Functions

Properties of Functions

0. Functions

Properties of Functions

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Multiple Choice

Given the graph of the following function, determine where the graph reaches a maximum.

$x=2$

$x=-2$

$x=3$

$x=-4$

Verified step by step guidance

Step 1: Observe the graph and identify the points where the function changes direction from increasing to decreasing. These points are potential maximums or minimums.

Step 2: Look for the highest point on the graph where the function reaches its peak value. This is the maximum value of the function.

Step 3: Note the x-coordinate of the highest point on the graph. This x-coordinate corresponds to the location of the maximum.

Step 4: Verify that the function decreases immediately after this point, confirming it is indeed a maximum.

Step 5: Compare the x-coordinate of the maximum point with the given options (x=2, x=-2, x=3, x=-4) to determine the correct answer.

6:21m

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