Math Problem Statement

Complete the table and then graph the function. f(x)=x+5 x f(x) 0 1 2 4 5

Solution

Let's complete the table for the function f(x)=x+5f(x) = x + 5:

xxf(x)f(x)
05
16
27
49
510

Now that we have the table of values, I can help you plot the graph for the linear function f(x)=x+5f(x) = x + 5.

Would you like me to generate the graph for you as well?


Relative questions:

  1. How does the graph of f(x)=x+5f(x) = x + 5 compare to f(x)=xf(x) = x?
  2. What is the slope of the function f(x)=x+5f(x) = x + 5?
  3. How do you determine the y-intercept of the function from its equation?
  4. If you substitute x=2x = -2, what is f(x)f(x)?
  5. How would the graph change if the function was f(x)=2x+5f(x) = 2x + 5?

Tip: The graph of a linear function like f(x)=x+5f(x) = x + 5 is always a straight line. The slope tells you the steepness, and the constant term shifts the line vertically.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions

Formulas

f(x) = x + 5

Theorems

Slope-Intercept Form

Suitable Grade Level

Grades 6-8