Graphs of Functions 2.6 Identity Function 2.6 Squaring Function 2.6 Cubing Function 2.6 Square Root Function x y 0 2 2 f(x) = x x y 0 f(x) = x2 4 1 1 2 –2 –1 x y 2 8 0 f(x) = x3 x y 0 f(x) = √x 1 2 3 4 1 2 2.6 Cube Root Function 2.6 Absolute Value Function 2.6 Greatest Integer Function 3.5 Reciprocal Function x y 8 –8 0 f(x) = √x 3 2 x y 0 2 2 –2 f(x) = | x | y 1 2 3 4 f(x) = [[x]] –2 –2 –4–3 1 –3 –4 2 3 4 0 x 1 –1 –1 1 x y 0 f(x) = 1x 3.4 Polynomial Functions x 1 0 –3 –2 –6 –12 6 y Degree 3; three real zeros x 2 0 –4 6 2 y Degree 3; one real zero x 1 2 –2 4 y –1 Degree 4; four real zeros x 1 –2 –1 0 2 –1 –2 y Degree 6; three real zeros 4.2 Exponential Functions 4.3 Logarithmic Functions x y 0 f(x) = ax, a > 1 (0, 1) (1, a) (–1, ) a 1 x y 0 f(x) = ax, 0 < a < 1 (0, 1) (1, a) (–1, ) a 1 x 0 y (1, 0) (a, 1) ( , –1) a 1 f(x) = loga x, a > 1 x 0 y f(x) = loga x, 0 < a < 1 (1, 0) (a, 1) ( , –1) a 1
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