Finding Function Values on a Graph: f(30) and f(-14) Explained

Click For Summary

Homework Help Overview

The discussion revolves around finding specific function values, f(30) and f(-14), from a periodic graph of y=f(x). Participants are tasked with justifying their answers based on the graph's characteristics, including its periodic nature, maximum and minimum values, and amplitude.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the periodicity of the graph and its implications for finding the function values. Some express uncertainty about the meaning of the specific inputs (30 and -14) and how to justify their answers based on the graph.

Discussion Status

There is an ongoing exploration of the periodic nature of the function, with some participants suggesting that the periodicity can be used to relate different function values. However, there is no explicit consensus on the exact values of f(30) and f(-14) or the justification process.

Contextual Notes

Participants note the periodicity of the function, with some suggesting a period of 4, while others mention a period of 5. There is a lack of clarity regarding the specific values to be derived from the graph and how to justify them.

Sonny18n
Messages
60
Reaction score
0
image.jpg
1. Homework Statement

A graph of y=f(x) is shown. Find the following function values and justify your answers.

f(30)=
f(-14)=

Homework Equations

The Attempt at a Solution


I know the graph is periodic, I know it's max and min, and I know it's amplitude because of that. But I don't know what the 30 or -14 is supposed to mean to me or how I'm suppose to "justify" my answer[/B]
 
Physics news on Phys.org
Sonny18n said:
View attachment 80886 1. Homework Statement
A graph of y=f(x) is shown. Find the following function values and justify your answers.

f(30)=
f(-14)=

Homework Equations

The Attempt at a Solution


I know the graph is periodic, I know it's max and min, and I know it's amplitude because of that. But I don't know what the 30 or -14 is supposed to mean to me or how I'm suppose to "justify" my answer[/B]

It looks to me like what you are supposed to conclude from the graph is that f(x+4)=f(x). That's periodic. So f(-14)=f(-10)=f(-6)=f(-2). The last value you can read off from the graph. Patterns like that.
 
f(30) and f(-14) are the values of the function calculated in x=30 and x=-14.
You said that the graph is periodic, so it means that the graph repeat itself with perod 5.
now you should obtain the two values.
 
Yes, Dick is right, the period is 4
 
Pierce610 said:
Yes, Dick is right, the period is 4
(It is possible for you to Edit post #3. )
 
  • Like
Likes   Reactions: Pierce610
Now no more; I'll do it in future if I should realize in time to have to correct my post
 
  • Like
Likes   Reactions: SammyS

Similar threads

  • · Replies 19 ·
Replies
19
Views
3K
  • · Replies 12 ·
Replies
12
Views
3K
Replies
8
Views
5K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 15 ·
Replies
15
Views
2K
  • · Replies 17 ·
Replies
17
Views
3K
  • · Replies 13 ·
Replies
13
Views
3K
Replies
26
Views
3K
Replies
7
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K