Is the function f(x)=7x–6 linear or nonlinear?


The function \( f(x) = 7x - 6 \) is a **linear** function.

A function is linear if it can be written in the form:

\[
f(x) = ax + b
\]

where \( a \) and \( b \) are constants. In this case, \( 7x - 6 \) matches the form of a linear function with \( a = 7 \) and \( b = -6 \). The graph of this function would be a straight line with a slope of 7 and a y-intercept of -6.

Would you like further details on linear functions or have any other questions?

Here are 5 related questions:
1. How do you find the slope of a linear function?
2. What is the significance of the y-intercept in a linear function?
3. How can you graph the function \( f(x) = 7x - 6 \)?
4. What are some real-world applications of linear functions?
5. How do linear functions differ from nonlinear functions?

**Tip:** Linear functions always have a constant rate of change, which means their graphs will always be straight lines.

Is the function f(x)=7x–6 linear or nonlinear?

Understand why the function f(x) = 7x - 6 is a linear function. This problem explores key algebraic concepts such as the linear function formula and the properties of linear functions. Ideal for students in Grades 8-10.

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