The graph shown to the right is a transaction of one of the

The graph shown to the right is a transaction of one of the basic functions. y = x^2, y = x^3, y = Squareroot x, y = |x|. Find the equation that defines the function. Determine the largest open interval of the domain over which of the function is (a) increasing and (b) decreasing The equation is y = __ (Type an expression using x as the variable. Type an correct answer using radicals as needed. Do not simply.) Determine the largest open interval of the domain over which the function is increasing. Select the correct below, and if necessary, fill in the answer box to complete your choice. __ (Type your answer in interval notation)

Solution

the parent graph of the function is

y = x^3

since it is shifted 2 units upwards so the function is

y = x^3 + 2

function is increasing in the interval ( -infinity , 0 )