Identify Linear Functions
Linear Function A linear function’s equation does not have exponents Exponent A quantity representing the power to which a given number is to be raised. Expressed as a raised symbol beside the number or equation (e.g. 3 in 2 3 ) Question #1 Is y = 6x 2 + 7 a linear equation? Step 1 Ask yourself: Are there any exponents? Yes, y = 6x 2 + 7 has an exponent: The 2 in x 2 is an exponent Answer: y = 6x 2 + 7 is not a linear equation Question #2 Is y = 3x + 2 a linear equation? Step 1 Ask yourself: Are there any exponents? No, y = 3x + 2 does not have an exponent Answer: y = 3x + 2 is a linear equation The form for a Linear Equation Ax + By = C Another method, to determine if an equation is linear is to determine whether the equation can be rewritten in linear equation form. Question #3 Is y = x - 1 a linear equation? Step 1 Ask yourself: Can y = x – 1 be rewritten in linear equation form? ...