Math Problem Statement

F(x)=2 {(2, 3), (-5, 8), (1, 2) (9, 10)}

Solution

It seems like you're dealing with a function notation and a set of ordered pairs, but there seems to be a bit of ambiguity.

  1. The function F(x) = 2 suggests that no matter the value of xx, the output will always be 2. This is a constant function.

  2. The set of ordered pairs {(2,3),(5,8),(1,2),(9,10)}\{(2, 3), (-5, 8), (1, 2), (9, 10)\} doesn't match the constant function definition of F(x)=2F(x) = 2, because in a constant function like F(x)=2F(x) = 2, the y-value (output) for each pair should always be 2. Only the pair (1,2)(1, 2) is consistent with this rule.

If you're trying to express that F(x)F(x) is a constant function, then all ordered pairs should look like (x,2)(x, 2), where xx can be any number, but the yy-value should always be 2. Based on this, the set of pairs you provided would not align with the function F(x)=2F(x) = 2.

Would you like details on how to handle constant functions or ordered pairs?

Here are five related questions:

  1. How do you determine if a function is constant by looking at a set of ordered pairs?
  2. What is the graph of a constant function like F(x)=2F(x) = 2?
  3. How do ordered pairs relate to functions in general?
  4. Can you explain the domain and range of the function F(x)=2F(x) = 2?
  5. How do you calculate function values for more complex functions?

Tip: In a constant function like F(x)=2F(x) = 2, every yy-value will always be the same, regardless of xx.

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Math Problem Analysis

Mathematical Concepts

Functions
Constant Functions
Ordered Pairs

Formulas

F(x) = c, where c is a constant value

Theorems

Definition of a constant function

Suitable Grade Level

Grades 6-8