1. Find the exact x-values of any turning points and the exact x-values of any points of inflection for 3 the graph of f(x) = x² – . - - x2 2. Let f(x) = x3+1'

Q: 4. a) Ralph thinks that if a function is positive (i.e f(x) > 0) over an interval, then its…

A: Take, f(x)=x2 over an interval [-2,-1] over this interval f(x)>0, but, f'(x)=2x which is strictly…

Q: Where does the graph of the function x* +x - 6 cross the x-axis? O At x = -6 O At x = -3 and x - 2 O…

A: We use condition if any graph cuts or crosses X-axis then y coordinate becomes 0.

Q: 2. [4 points] Find the derivative of the following function. 1+2x f(x) 3-4x

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Q: 11. Use the graph of f(x) to graph f-1(x).

A: Here is the solution of the given problem.

Q: 4. Using the first derivative test to find the location of the local maxima of the following…

A: Given function is  f(x)= x^3 -3x^2 -9x-1

Q: Find where the function is increasing. 2 y = x² - 3lnx, (x > 0)

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Q: 3. When is the function increasing and when is it decreasing? f(z) = re==z3)? xe 2 f(x)=xe 4X2)

A: Solution:

Q: Given the graph of y = f(x), sketch the graphs of f' and f" on the same set of axis. 1.

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Q: The graph of f'is translated a whole number of units horizontally and vertically to obtain the graph…

A: A graph of the functions  and  are given.The objective is to find the equation of the function .

Q: 12. Find each of the following for f(x) = -4x + 7. (a) f(3) (b) the value of x for which f(x) = -1

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Q: 1. 5 Let the function s(t)- 111 x² + 10x + 15 represent the motion of a toy car as it travels near a…

A: Note: Since, the student has mentioned a typing error in the function and want to replace the x's…

Q: f the first derivative of a function is f'(x) = x(x − 3)(x + 2)², a. create a sign chart for the…

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Q: 1. Given the function f(x) = x³ - 3x² - 9x + 7, make a sign diagram for the first derivative and…

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Q: 2. 3 Determine f'(x) and simplify. f(x) = (3x² - 4x) (2x - 3) ³

A: Topic = Derivative

Q: 20. Find the slope for f(x) = |x – 2| + 3 from -x' + 5x - 3 X=-3 to x-2? A. -5/5 B. 5/8 C. -8/5 D.…

A: Given that f(x)=x-2+3 and,-x2+5x-3. The formula for slope is, m=f(x1)-f(x2)x1-x2

Q: The daily profit function in dollars for a food truck given by the function P(x)=7(x^2-600)^1/3-26…

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