f(x) = x3 - 9x2 + 24x - 20. 1. What is the y-intercept of f? 2. Find f'(x) 3. Calculate any critical point of f 4. write down any intervals of increase 5 write down any intervals of decrease  6. use these intervals to classify the critical points

Q: Given h(x)=−2x^2+x+1, find the absolute maximum value over the interval [−3,3].

A: Find h'(x) to find the critical points.The x-coordinate for critical point is (1/4).

Q: Use the second derivative test to identify any critical point and determine what each critical point…

A: Introduction: If f(x,y) is a two-dimensional function with continuous partial derivatives and a…

Q: 1. f : R → R such that f(x) = 6x + 42 2. f : Z → Z such that f(x) = 7x + 34 3. g : R → R such that…

A: Four real-valued functions are given to check their functional behavior.   NOTE: Kindly note that we…

Q: f(x)= 4x + 2 Domain = {-3, -1, 0, 2, 3} List the range }

A: The given function fx=4x+2 Domain -3, -1, 0, 2, 3 We have to find the range of the function.

Q: 5. Let f(x) = x-3x73. Use calculus to determine the critical numbers for the function.

A: Consider the  provided function, fx=x-3x23 Find the critical point of the critical point. Find the…

Q: Consider the function f(x)=2x^3-9x^2-24x+4 on the interval [−5,8]. Find the average or mean slope of…

A:

Q: Find the local maximum, minimum and saddle points of the function using the second derivative test:…

A:

Q: 2. {(-2,4), (-3,4), (-4,4)} 3. f(x) = 4x + 5 4. N 2 y=5

A: Topic:- function Definition :- If a variable y is so related to a variable x that whenever a…

Q: 19. Show that f(x) = x² + 1 is not one-to-one, using values of f (not the horizontal line test).

A: To show: The function fx=x2+1 is not one to one. Concept used: The function is one to one is and…

Q: ind the exact location of all the relative and absolute extrema of the given function: h(t)= 2t^3…

A: find critical point and check sign of double derivative at critical point

Q: Find the critical pts, max., min., intervals of increase, intervals decrease, absolute max.,…

A: The give function is: fx=2x3-9x2+36 Find the critical point.

Q: Q2:Find all critical points of the function f(x)=(3x)/[(x^2)+9] Final answers should be ordered…

A: To evaluate the critical point of the following function  f(x) = 3xx2+9

Q: In a sentence or two, explain how to find the x coordinates of critical points of a function f if…

A: We have to  explain how to find the x coordinates of critical points of a function f if we have…