f(x )
Names Linear Constant Identity Quadratic Cubic Exponential And many more! Straight Line Horizontal Line Slanted Line Parabola Half Parabola Twisted Parabola Graphs
Graph is a non-vertical straight line No exponents higher than one No operations except addition, subtraction, and multiplication No variables multiplied together No variables in a denominator Must be able to put it in the form f(x) = mx + b (where b is a constant and m is a coefficient) The first number is obviously 4
f(x) = 4x² + 4 g(x) = ½ x – 9 r(x) = √x + 3 k(x) = kx – 7 x = 6
Term Domain Range Y –Intercept Slope All Real Numbers All Real Numbers (unless horizontal line) Point where line crosses the y- axis Change in Y/Change in X Definition The second number is obviously 7
Example: f(x) = 2x + 4 x2x + 4f(x) (x, y)
Identity Function Parent Function: f(x) = x Graph: slanted line Domain: All Real Numbers Range: All Real Numbers Y-Intercept: constant Slope : coefficient of x Parent Function: f(x) = c Graph: horizontal line Domain: All Real Numbers Range: c Y-Intercept: c Slope : zero Constant Function The third number is obviously 5
Domain? Range? Y-Intercept? Slope? Equation? g(x) = ¾ x + 3 3/4 3 All Real Numbers (-∞, +∞)