O O O 1. Write the function f(x) = value symbols). f(x) = { f(x) = - 10 x +8 as a piecewise function (with no absolute x²10x+8, x < 0 x² - 10(-x)+8, x ≥ 0 (x² + 10x +8, x ≥ 0 x²10 x+8, x < 0 - f(x) = {x² - 10x + 8, x ≥0 - 10(-x)+8, x < 0 x²10x + 8, x ≥ 0 f(x) = { x² - 10(-x) + 8, x ≤0 -

Q: Show that f(x) = 2/x2 + 3x4 – 5x6 is an even function

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Q: What is the vertex of the following function? f(x) = x² + 4x +3 (-1,4) (-2,-1) (4,3) (-4, 3)

A: Solution : Given that f(x) = x^2 + 4x + 3 For vertex of the given function , f'(x) = 0

Q: Let 14 f(x) = (3x²-5) 5 (- 5x² +9) ¹4 f'(x) = > Next Question

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Q: Suppose the functions g and f are defined as follows. h(x) = -5+ 4x2 g (x) = 4 – 9x (ə) Find (4)…

A: Given that, h(x)=-5+4x2 and g(x)=4-9x. Part (a) The value of hg(x) is same as hg(x)=h(x)g(x)…

Q: A function f is defined by Ax + 5 f(x) 6x - 2 If f(1) = 4, find A.

A: Given: fx=Ax+56x-2  ……1   and, f1=4  ……2   To find: A

Q: Let f(x) = {2x-5 if x3

A: Find your answers below

Q: Use the functions below to evaluate and simplify the function compositions. ƒ₁(x) = 4x² – 3x − 1,…

A: Given : f2(x)=7x2-3x-10   To Find : (f2ο f2)(-1)

Q: f(x) = 2 (x+4)²-3 for 4x - 3 for Find f(-5) x 1

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Q: Choose all functions that are members of the same family. Oy=-x(x − 3)(x + 5) Oy=x³ + 2x² - 15x…

A: By simplifying each function, we can identify the members of same family.

Q: A bicycle wheel with a 24 inch diameter rotates 210 ° .   What distance has the bicycle traveled?…

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Q: What would be the piecewise function of  f(x)=(x+1)/(8-2x2)

A: Here, the equation is given by f(x)=(x+1)(8-2x2). The piecewise function of the equation has to be…

Q: Let x + 1 f(x) x + 6 ƒ−¹( − 2) = - =

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Q: Consider the function f defined by f(x) = (3 – x)(4 + 3x). What is f(-3)?

A: Given  f(x)=(3-x)(4+3x)

Q: Find the domain of f.  f(x) = x - 4/(x - 8)(x + 8)

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