(a) If the point (5,3) is on the graph of an even function, what other point must also be on the graph?(b) If the point (5,3) is on the graph of an odd function, what other point must also be on the graph?

Question

Filo · Accepted Answer

Key Concepts: Even And Odd Functions

Explanation:
The graphs of even functions are symmetrical about the y-axis, which means that for any point (a,b) on the graph, the point (−a,b) will also be on the graph. 
On the other hand, the graphs of odd functions are symmetrical about the origin, which means that for any point (a,b) on the graph, the point (−a,−b) will also be on the graph.

Step by Step Solution:
Step 1. For part (a), since (5,3) is on the graph of an even function, we know that (−5,3) must also be on the graph.

Step 2. For part (b), since (5,3) is on the graph of an odd function, we know that (−5,−3) must also be on the graph.

Final Answer:
For part (a), the point (−5,3) must also be on the graph. For part (b), the point (−5,−3) must also be on the graph.

Question Text	(a) If the point $(5, 3)$ is on the graph of an even function, what other point must also be on the graph?(b) If the point $(5, 3)$ is on the graph of an odd function, what other point must also be on the graph?
Topic	All Topics
Subject	AP Calculus BC
Class	Class 11
Answer Type	Text solution:1

(a) If the point $(5, 3)$ is on the graph of an even function, what other point must also be on the graph?(b) If the point $(5, 3)$ is on the graph of an odd function, what other point must also be on the graph?

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