Consider the function f(x) = 2x³ – 6x² + 6x – 3. - a) The intervals of increase/decrease a the local extrema. b) Determine the intervals on which f i concave up and on which is concave down, and find any points of inflection. Do not sketch or use the graph of f to provide your answers. Show your work.

Q: Sketch the graph of f′. Explain how you found your answer.

A: The given graph is a semicircle with radius 2, so the equation is y=√4-x². The slope of the graph is…

Q: y a-2x- 15

A: Given function y=x2-2x-15

Q: Use the graph of f to find the x-intercept(s), Where applicable, use interval notation.

A:

Q: A weather balloon is launched from an observation tower and heads due north. Its horizontal distance…

A:

Q: backspace 6. Find the difference quotientath where h 0 for each function. a. f(x) = 2x2- 3x- 1

A: f(x)=2x2-3x-1

Q: Find the derivattive of the function. tou do hot heed to Simplity the answer' Cos (x)

A:

Q: a. Consider the interval between x = -8 and x = -3. Explain why the product of the linear factors…

A:

Q: Translate each function algebraically. Be sure to adjust the interval. 5. Translate 3 units up -z+…

A: Explanation of the answer is as follows

Q: 7. Give two reasons why a function might not be differentiable at a particular value of x.

A: topic -derivative

Q: Describe the domain and range of the function. g(x, y) = x/y

A:

Q: Find domain and the range of each function. S(x,y) =4x² + y 1. f(x.y) =/9- x* - y² 2.

A: (1) the domain of the function, f(x,y) = 4x² + y² is, R×R , or, R²    since, 4x² + y² ≥ 0, for all…