QuestionJune 19, 2025

Concavity can be discerned from a table of values but not from a graph. A True B False

Concavity can be discerned from a table of values but not from a graph. A True B False
Concavity can be discerned from a table of values but not from a graph.
A True
B False

Solution
4.4(316 votes)

Answer

B False Explanation 1. Define Concavity Concavity refers to whether a function is curving upwards or downwards. It is determined by the sign of the second derivative. 2. Analyze Table vs Graph A table of values alone does not provide information about the second derivative, whereas a graph can visually show concavity through its shape. 3. Determine Truth Value Since a graph can show concavity and a table cannot, the statement is false.

Explanation

1. Define Concavity<br /> Concavity refers to whether a function is curving upwards or downwards. It is determined by the sign of the second derivative.<br />2. Analyze Table vs Graph<br /> A table of values alone does not provide information about the second derivative, whereas a graph can visually show concavity through its shape.<br />3. Determine Truth Value<br /> Since a graph can show concavity and a table cannot, the statement is false.
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