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Recognizing Different Functions A function is an equation usually written like: It is similar to saying y = ◦ There are differences but I’m not going to get into it here! 1. 2. 3. There are three different functions you need to know: Linear Quadratic Exponential Linear: a linear equation either in standard form or slope-intercept form ◦ Only has one x in equation (not squared) Quadratic: a function that has an x2 value ◦ The graph will create a loop up or down Exponential: where the exponent is a variable ◦ Ex: 3x You’re going to have to determine if an equation is linear, quadratic, or exponential two ways ◦ The first way is by looking at a graph ◦ The second way in with a chart Linear x 1 2 3 4 5 y -2 0 2 4 6 Linear Quadratic Ex: x2 + 2x + 4 x 1 2 3 4 5 y 2 0 2 4 8 Quadratic Makes a loop Exponential x 1 2 3 4 5 y 1 1.5 3 10 22 Exponential x 1 2 3 4 5 y 28 14 7 3.5 1.75 Exponential Exponential