Suppose a smooth function f(x) satisfies f(0) = 0, f(1) = 2, and that f[x0,x1,x2] = 1  for any three points x0, x1, x2. Find this function f(x).

Select the following functions that are bijective. f3: R → R, f(x) = 14 f₂: R → R, f₂(x) 2 f₁:R → R, f₁(x) = x + x + x + x + 4 f4: R → R, f4(x) = -{ = x x², if x 20 X, if x <0

4. Show that the function f: R → R defined by f(x) = x² - 3x + 1 is not one-to-one.

4) Find the minimum and maximum values of f (x)= x² – 8x + 10 on the interval [0, 7]. Sketch the graph of f and label the minimum and maximum