Find the Points of Inflection and Discuss the Concavity of the Function

question 121

Multiple Choice

Find the points of inflection and discuss the concavity of the function. $f ( x ) = 4 x ^ { 3 } - 5 x ^ { 2 } + 5 x - 7$

• A) inflection point at \(x = - \frac { 5 } { 12 } ;\) concave upward on \(\left( - \infty , - \frac { 5 } { 12 } \right)\); concave downward on \(\left( - \frac { 5 } { 12 } , \infty \right)\)
• B) inflection point at \(x = \frac { 5 } { 24 }\); concare downward on \(\left( - \infty , \frac { 5 } { 24 } \right) ;\) concave upward on \(\left( \frac { 5 } { 24 } , \infty \right)\)
• C) inflection point at \(x = \frac { 5 } { 12 } ;\) concave downward on \(\left( - \infty , \frac { 5 } { 12 } \right)\); concave upward on \(\left( \frac { 5 } { 12 } , \infty \right)\)
• D) inflection point at \(x = - \frac { 5 } { 12 } ;\) concave downward on \(\left( - \infty , - \frac { 5 } { 12 } \right)\); concave upward on \(\left( - \frac { 5 } { 12 } , \infty \right)\)
• E) inflection point at \(x = \frac { 5 } { 12 }\); concave upward on \(\left( - \infty , \frac { 5 } { 12 } \right)\); concave downward on \(\left( \frac { 5 } { 12 } , \infty \right)\)

Understand and calculate ending balances in various accounts including Finished Goods, Cash, and Retained Earnings.

Recognize and record the impact of direct labor costs and direct labor variances on financial statements.

Identify and apply calculations for purchasing and recording raw materials, including variances.

Comprehend the procedure for recording fixed manufacturing overhead costs and its variances.

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