Math Problem Statement

Mor than 10 table values

Mor than 10 table values

Solution

The image shows a mathematical activity written on a chalkboard. The task is to construct a table of values for the function f(x)=x+2f(x) = x + 2.

To create a table of values, we choose several values for xx and then compute the corresponding f(x)f(x) values using the equation f(x)=x+2f(x) = x + 2.

Example Table of Values for f(x)=x+2f(x) = x + 2

xxf(x)f(x)
-5-3
-4-2
-3-1
-20
-11
02
13
24
35
46
57

Here, I chose 11 values of xx ranging from 5-5 to 55, and for each, calculated the corresponding f(x)f(x).

Would you like further details or additional explanation on how the table was constructed?

Related Questions:

  1. What does the function f(x)=x+2f(x) = x + 2 represent graphically?
  2. How do we determine the slope of a linear function like f(x)=x+2f(x) = x + 2?
  3. How can you extend this table of values to include more data points?
  4. What is the domain and range of the function f(x)=x+2f(x) = x + 2?
  5. How do changes to the equation, such as f(x)=x+3f(x) = x + 3, affect the table of values?

Tip:

When constructing a table of values, it's often useful to choose a range of xx-values that includes both negative, zero, and positive values to see the full behavior of the function.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions

Formulas

f(x) = x + 2

Theorems

-

Suitable Grade Level

Grades 6-8