2x², - + if x ≤ 3 if x>3 For the function f defined above, m and b are constants. If f is differentiable at x = 3, what is the value of b? f(x). O-18 O-12 O 12 00 mx+b,

Q: Which of the following is a zero for the function f(x) = (x + 3)(x – 7)(x + 5)? Ox= -7 Ox = -3 Ox =…

A: topic - polynomials

Q: if x s2 (2x – 3 if x> 2 b. g(0) 5. g(x) = %3D a. g(-3) C. g(2) d. g(3) e. g(5)

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Q: Use these functions to answer the following. Write the answers in fraction or radical form. 3x+4 f…

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Q: What are the zeroes of the function f(x) = x + 17x+ 72? %3D O-8 and -9

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Q: For each function, find f(-1) and f(4). f = (-8,-1), (-1, 5/2), (4,5), (10,8)

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Q: Evaluate the function f(x) = ⟨x⟩ + 1 when x = −1, 2, and 32.

A: We have to Evaluate the function f(x) = ⟨x⟩ + 1 when x = −1, 2, and 3

Q: 14r 3. (x+3)(x-2) 5 4x x+3 8.

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Q: A car's movement is represented by the function 2x3 + 6x2 + 2x + 3 in kilometers reco at an hourly…

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Q: Find f(a+h) for the given function. Enter the simplified expression. Do not insert spaces in your…

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Q: 17. For what value(s) of k will the following function have only one zero? f(x)=x² − kx +9

A: The function is given as           f(x) = x2 - kx + 9 . . . . . . . (1)    Then, f(x) = 0    =>…

Q: Find the indieatedd deriuative, ) for f(a) (x+3)(-4)

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Q: Which of the following is an inflection point of f(x) = 3x - 20x3 %3D

A: We need to find the inflection point of f(x)=3x5-20x3

Q: Let f(x) = 10 − 3x2. Find each function value. a. f(2)   b. f(−4)   c. f(x − 1)

A: Since, we have f(x)=10-3x2(a)f(2)=10-3(2)2 ⇒f(2)=10-3(4)=10-12⇒f(2)=-2

Q: Use the derivitive rule to find the derivitive of the following function y = x2 - 2ax + a2 all…

A: We have to find the derivative of the following function y = x2-2ax+a2x-1 Here function is of type y…

Q: 2 2 V 4 +x-

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Q: 2n+2 – 3" Σ - 2. Determine 6n+1 n=0

A: To find: ∑n=0∞2n+2-3n6n+1

Q: Consider the following vectors: --8-8-8 H W1 = -3 W2 = -1 4 Enter the vector n in the form [C₁, C₂,…

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Q: Evaluate the function f(x) =x´+2x +2 at the given values of the independent variable and simplify a.…

A: To find f(k) for a function f(x), put x=k in f(x) and simplify the expression to get f(k).