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: 1. Answer the following : 1 a. Find the domain: f(x) =+÷+ x+1 x+2

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Q: Find the domain of the following function 1 f (x) = 2 + f (x) Vx

A: Given function,                            f(x)=12+x

Q: 2. Explain why the function is discontinuous at the given number a. i. ii. 1 (x-1)² f(x)=--…

A: Definition of Continuity-: A function is said to be continuous if it satisfies the following…

Q: 1+x is even, odd, or neither. Show your work. |x| 2. Determine whether the function fx) = %3D

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Q: 3. Determine if the following functions are one-one. Explain why. •f: R R f(x) = (x - 2)² ● f:R R…

A: one- one function :Let f be a function which is one one if        x1≠x2   ⇒  f(x1) ≠ fx2 for every…

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: y= {(z) -4 -3 -2 -1 3 7

A: We have to find the points

Q: A. Given the function f(x) = 2x² and 9(x) = 3x + 1 find: 1. f(x) + g(x) 2. f(x) – g(x) 3. f[g(x). 4.…

A: Given -  To find - Find

Q: Please no written by hand solutions 13 x^(3)+4x-(x-6)^(2)-(7x^(2)+4) Which of the following…

A: Given polynomialf(x)= x³+4x-(x-6)² -(7x²+4)know that (a-b)²=a²+b²-2abnow by using this we…

Q: f(x) %3D — х3 + х2 — 8х + 4 1. 3.

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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: 3. Determine whether the following function is odd or even. a) f(t) = t² + 2t + 2 b) h(x) = 5x7 +1…

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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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Q: 1. Make two separate plots of the function f(x)=0.6x-5x +9x+2; one plot for -4 sxS4, and one for…

A: The given function is fx=0.6x5-5x3+9x+2.