Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.) f(x) = x + 3cos⁡x, [0, 2π] (x, y) = ( ) (smallest x-value) (x, y) = ( ) (largest x-value) Describe the concavity. (Select all that apply. ) Concave upward: (0, π/2) (π/2, 3π/2) (3π/2, 2π) (0, 2π) none of these Concave downward: (0, π/2) (π/2, 3π/2) (3π/2, 2π) (0, 2π) none of these

Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.) f(x) = x + 3cos⁡x, [0, 2π] (x, y) = ( ) (smallest x-value) (x, y) = ( ) (largest x-value) Describe the concavity. (Select all that apply. ) Concave upward: (0, π/2) (π/2, 3π/2) (3π/2, 2π) (0, 2π) none of these Concave downward: (0, π/2) (π/2, 3π/2) (3π/2, 2π) (0, 2π) none of these

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Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)
f ( x ) = x + 3 cos x , [ 0 , 2 π ] ( x , y ) = ( ) (smallest x -value) ( x , y ) = ( ) (largest x -value)
Describe the concavity. (Select all that apply.)
Concave upward: ( 0 , π / 2 ) ( π / 2 , 3 π / 2 ) ( 3 π / 2 , 2 π ) ( 0 , 2 π ) none of these
Concave downward: ( 0 , π / 2 ) ( π / 2 , 3 π / 2 ) ( 3 π / 2 , 2 π ) ( 0 , 2 π ) none of these

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