Question about Polynomial Functions From Data

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SUMMARY

The discussion centers on understanding polynomial functions using a set of x-values defined as {1, 2, 3, 4, ..., m - 2, m - 1, m, m + 1, m + 2, ...}. The variable "m" represents a constant or variable that can be substituted into polynomial functions such as y = x, y = x², and y = x³. Participants clarify that "m" is not a specific number but serves as a placeholder to explore the behavior of these functions across a range of values. The key takeaway is that "m" allows for the examination of polynomial functions in a generalized context.

PREREQUISITES
  • Understanding of polynomial functions, specifically y = x, y = x², and y = x³.
  • Familiarity with variable notation in mathematics.
  • Basic knowledge of function evaluation and substitution.
  • Ability to interpret mathematical expressions and charts.
NEXT STEPS
  • Explore polynomial function properties and their graphs.
  • Learn about function evaluation techniques using variable substitutions.
  • Study the implications of varying constants in polynomial equations.
  • Investigate the concept of limits and continuity in relation to polynomial functions.
USEFUL FOR

Students learning algebra, mathematics educators, and anyone seeking to deepen their understanding of polynomial functions and variable manipulation in mathematical expressions.

Rowah
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My teacher gave me a chart to fill in that has X-Values that look like this:

x

1

2

3

4

.
.
.

m - 2

m - 1

m

m + 1

m + 2

My question: What the heck is that m - 2 / m + 2 stuff?


Above the chart he gave me, it says:

"Examine the following functions for the set of x-values

{1,2,3,4,..., m - 2, m - 1, m, m + 1, m + 2,...}

I have absolutely no idea what "m" is.. Can someone please lend me a hand?
 
Last edited:
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Rowah said:
My teacher gave me a chart to fill in that has X-Values that look like this:

x

1

2

3

4

.
.
.

m - 2

m - 1

m

m + 1

m + 2

My question: What the heck is that m - 2 / m + 2 stuff?


Above the chart he gave me, it says:

"Examine the following functions for the set of x-values

{1,2,3,4,..., m - 2, m - 1, m, m + 1, m + 2,...}

I have absolutely no idea what "m" is.. Can someone please lend me a hand?

im going to assume that m is just some variable??

what are the functions?? That would give more insight

i think the m is just to show what the function would look like if m-2 was plugged into it
 
The functions are: y = x, y = x^2, y = x^3
 
Rowah said:
Above the chart he gave me, it says:

"Examine the following functions for the set of x-values

{1,2,3,4,..., m - 2, m - 1, m, m + 1, m + 2,...}

If that is the entirety of the problem, you can treat m as if it were some constant or variable.
 
Ok thanks waterchan, that's what my teacher said today :D
 

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