Use calculus to show that the function, f (x) = x³ + 3x – 6, has exactly three zeros (where f(x) = 0) and that one zero is in (1, 2). i) Sketch the graph of f(x). Determine whether f(x) is ii) even or odd or neither, ii) decreasing or increasing or neither.

Q: A function is defined by z = x2y - xy2. Identify the independent and dependent variables.

A: Given function is

Q: Indicate if the function is bijective from R to R, f (x) = −3x + 4, justify your answer

A: Given f : R→R, f(x)=-3x+4 Here the function is linear function. f'(x)=-3<0 for all x∈R Which…

Q: let f(x)= 5/x +-8/4x+1. Determine the values of x for which f(x) = -2

A: Given that f(x)=-2  We plug this and find x