Math Problem Statement

f[x]=x+6

Solution

The function you've provided is:

f(x)=x+6f(x) = x + 6

This is a simple linear function. It represents a straight line with a slope of 1 and a y-intercept of 6.

Would you like to explore something specific about this function, such as its graph, domain, range, or finding its value at a particular xx-value?


Here are 5 related questions you might find interesting:

  1. What is the slope and y-intercept of the function f(x)=x+6f(x) = x + 6?
  2. How would you graph the function f(x)=x+6f(x) = x + 6?
  3. What is the domain and range of the function f(x)=x+6f(x) = x + 6?
  4. How do you solve for xx if f(x)=0f(x) = 0?
  5. What is the value of f(x)f(x) at x=5x = 5?

Tip: Linear functions like f(x)=x+6f(x) = x + 6 always graph as straight lines, where the slope indicates how steep the line is and the y-intercept tells you where the line crosses the y-axis.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions
Slope and Intercept

Formulas

f(x) = mx + b
y = mx + b (Slope-Intercept Form)

Theorems

Slope-Intercept Theorem

Suitable Grade Level

Grades 7-9