Let f(@) = x + 3. a. Sketch graphs of f(x), f(f(x)), f(f(f(x))) on the interval -2

Let f(x) a. Sketch graphs of f@), on the interval 2 10. b. Your graphs should all intersect at the point (6, 6). The value = 6 is called a fixed pointof the function f(x) since f(6) = 6; that is 6 is fixed - it doesn't move when f is applied to it. Give an explanation for why 6 is a fixed point for any function f(f(f(... f(x)... c. Linear functions (with the exception of f(x) can have at most one fixed point. Quadratic functions can have at most two. Find the fixed points of the function g(x) d. Give a quadratic function whose fixed points are a: = 2 and = 3.