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4. (2 points) Let function f(x) be defined as f(x ) = Find the value of (if it is possible), that turns the function f(x) into the continuous one. Prove your answer. 5. (4 points) Given: Find A) The equation of the tangent line at x=1. B) The value(s) of x, where tangent line is horizontal. 6. (3 points) Find , if A) (x) = ; B) (x) =; C=. 7. (3 points) Find the derivative of function . Apply four-step process.1. (4 points) Write the equation of the straight line through the two given points: A(1,-2) and B(-2,-6). Find intercepts and slope of the line. Sketch the graph. 2. (6 points ) At a price $1.90, the annual supply and demand for barley are 410 million bushels and 455 million bushels respectively. When the price rises to $2.70 per bushel, the supply increases to 430 million bushels and demand decreases to 415 million bushels. Find the equilibrium point for barley market. 3. (8 points) The marketing research department for the company that manufactures and sells memory chips for computers established the following price - demand function: p(x) = 75 - 3x, where p(x) is the wholesale price in dollars at which x million chips can be sold. (A) Find the domain of revenue function. (B) Sketch a graph of the revenue function in a rectangular coordinate system. (C) Find the output that will produce the maximum revenue. Find the maximum revenue. (D) What is the wholesale price per chip that produces the maximum revenue? 4. (2 points) Let function f(x) be defined as f(x ) = Find the value of (if it is possible), that turns the function f(x) into the continuous one. Prove your