# Nonlinear Functions and Set Theory

**North Carolina Standard Course of Study**. A function can be in the form of y = mx + b. This is an equation of a line, so it is said to be a linear function. Nonlinear functions are functions that are not straight lines. Some examples of nonlinear functions are exponential functions
and parabolic functions. An exponential function, y = aˆx, is a curved line that gets closer to but does not touch the x-axis. A parabolic function, y = ax² + bx +c, is a U-shaped line that can either be facing up or facing down. Read More...

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#### North Carolina Standard Course of Study

NC.7.EE. Expressions and Equations

Solve real-world and mathematical problems using numerical and algebraic expressions, equations, and inequalities.

NC.7.EE.4. Use variables to represent quantities to solve real-world or mathematical problems.

NC.7.EE.4.a. Construct equations to solve problems by reasoning about the quantities.

NC.7.EE.4.a.2. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.

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