Note that: An interior point of the domain of a function f where f' is zero or undefined is a critical point of f. 7. Determine critical points for each of the following functions. a. y = x² - 6x +7 b. f(x) = x(4- x)³ 2 c. y = x² + X

Q: 8. Find f-1 (x) for f (x) = 2-4

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Q: 5. State the direction of opening of the function g(x)= 3x²-x4 - 4

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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: 11b. Consider the function f(x)=5x* – 4x³ +4. Isƒconcave up or down at the point x = -0.2? A.

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Q: 1. Write the domain of the following functions and draw a corresponding picture. f(x, y) = In(y-x)…

A: To find the domain of the function  f(x,y)=y−x2ln(y−x)​, we need to identify the values of ( x ) and…

Q: 3. Is the function given by (x²-4x-5, x<5 F(x)= x+1, x25 continuous at x = 52 why or why not ?

A: Given function, f(x)=x2-4x-5;x-5;x&lt;5x+1;x≥5; The objective is to tell whether the function is…

Q: 1. Let f(x)=x^2-4x+3 Calculate f(x+h). Show all work.2. Let f(x)=x^2-4x+3. Calculate f(-x). Show…

A: I see that there are four questions mentioned here and as there is no information regarding which…

Q: find the domain of  f(x)=√ 2x+3 1. x ≥ 0 2. x ≥ 2/3 3. x ≥ -  2/3 4. x ≥ 0

A: we have to find the domain of f(X)

Q: Find and sketch the domain of the function. f(x, y) - In(4x2 - 4y²) y

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