-5 -20 -10 9- Which ordered pairs are included in f(x)? Included in f(x) Not included in f(x) 2.

Q: (1) Find and classify the extremes value of f(x)=6x* – 4x° over the interval [-2,2].

A:

Q: 3. f(x)=-5sin ax+- 江x- +2 2

A:

Q: 2 (1)If f(x)=x² +x, g(x) = x+3 ' then fog(1)= go f(1) =.

A: Solve the given function

Q: (1) Find and classify the extremes value of f(x)=6x* – 4x° over the interval [-2, 2].

A:

Q: 12- If f(x)=v3x , g(x)=x/5, and h(x)=6x a. f(h(g(x))) b. f(g(h(x))) c. g(f(h(x))) ·

A:

Q: 4 -7 -6 -5 -3 2 -1 2 4 5 -2 -3 -4 -5- -7+ Your answer should be in the form (x- h) + k. f(z) %3D 6…

A: Finding quadratic expression

Q: -Lt-AL -- - .. 2x+2 f(x) = (2)2(x-3) + 2 h(x) = - - 2 Justify: Justify: g(x) = -(x+1) - 2 k(x) =…

A: 1(c)

Q: 3 -x if x < 2 f(x) = at x = 2, (-0,2) if x 22 2x - 3 if x 2 2 -3 f(x) = -2x + 2 if x < 2 at x = 2,…

A: We have to check if the function is continuous or not.

Q: Sketch the graph of the function.

A: Definition used -               The domain of square root function -  We know that number inside…

Q: 4. Compare and contrast f(x) and g(x). g(x) ={-x - 3, when r< -2 (x+ 1, when x2-2 f(x) = |x + 2| + 1

A:

Q: -Зx2-5х+2 -19x-24 38х-4 3. f(x) = (Hint: f'(x) = and f"(x): (x+4)3 (x+4)2 )Find x and y intercepts…

A: Given the function

Q: 2-5. -1sx<0 3x, 0<x<1 4, f(x)= x=1 - 2x +5, 1<x<2 3. x=2 1, 2<x<3

A:

Q: 22 Which value of x is NOT in the domain of the function f(x) %3D 11x 33 -

A:

Q: 6. Let (1- x2, if x 1 Find f (-1)

A: 6.  Given that , f(x) = 1-x2    ; if x≤12x+1   if x&gt;1we have to find f(-1)

Q: (c) Show that f(x)>0 for all values of x, x # -2.

A:

Q: - 5 Let f(x) = – 5x Va + - f'(x) =

A:

Q: 4 given that g(2) = 1 and g'(2) = – 5, what is F'(2)? If F(x) = %3D g(x)' %3D

A: Given, F(x)=4g(x), g(2)=1 and g'(2)=-5We need to find F'(2)

Q: -x², 5х - 4, 4x* - 3х, 1<x<2 X <0 0 <x<1 If f(x) = then f(x) is discontinuous at x = Зх + 4, x 2 2…

A: f(x) is discontinuous at x if left hand limit not equal to right hand limit

Q: 3 5 If f(x) = 2 – 6(x - 1) +(x – 1)2 – ¬(x – 1)3 + 2! 3! 1 -(x – 1)“, what are f"(1) and f'(1)? 4!

A: Given that, fx=2-6x-1+32!x-12-53!x-13+14!x-14 Then we get,…

Q: (1+x, if x 2 %3D

A:

Q: What is the end behavior for this equation? f (x) = - (x+3)² +1 As x-∞, f (x) →→→→→∞, and as →→→∞, f…

A:

Q: 5х + 3, х < 1 f(x) = {x? + 4, 1<x< 2 ( x², x2 2

A:

Q: kx,0 6

A: From the definition if the function is probability density function then, ∫-∞∞f(x)dx=1 Here,…

Q: 1. * 0-响1立, 2x+3 then 6x-5 If f(x) =- %3D

A: given,

Q: 17. Find the end behavior for f(x) = -3x - 2x -7 A. x- +o, f(x) +0 x -o, /(x) - - B. x-+o, /(x) -00…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Discuss the continuity of the function on the closed interval.

A: Given, f(x)=x, x&lt;12,x=12x-1,x&gt;1

Q: -10 -9 -8 -7 -6 -5 -4 -3-2 2 345 6 89 10 Which equation could represent the piecewise function? -4,…

A: from the give graph for x&lt;0it gives a straight line with zero slopey=-4

Q: 10 -8 -2 10 -2 -4 -6 -8 -10 for f(x) = |3D for 8 4.

A: We will find out the required equation of given piece wise function.

Q: + 9, 9, 19, f(x) = 4 – x, g(x) = x² – 3x f + g)(x).

A:

Q: ab Q4: Show that if f(x) : then fa - fb = f() b-a

A:

Q: х - 5х - 24 Ax) = х — 7х — 30? 21. What is the domain for the function {x € R|x+ - 3, 10; c {x €…

A: Given : fx = x2-5x-24x2-7x-30

Q: 4 if x 2

A:

Q: 6. Suppose g(x) = 3+ Evaluate g-(-1) 2x – 3

A: This question is related to function and its inverse, We will solve it using given information.

Q: х - 2, for xS -3, f(x) = - 3, for - 3<x<1, 4х, for x2 1

A: Given,

Q: (e2* ) In(3x+2) Vx' - x -1 Determine f '(x) if f(x)= DO NOT SIMPLIFY!

A:

Q: 6 4 Verify that for f(x, y) = 3x°y* - 4x°y°. дх ду ду дх of

A: Given problem:-

Q: ) Given that f(x) = 2x + 5  g(x) = 2x – 6 /  x and  h(x) = x2 – 5  Find:- i) f(-4) = ii) h[f(-6)]…

A: Function value and it's composition

Q: Determine the domain of 3+ x1/3 - 2 f(x) = х- 1 A [-27,1) (B) X2 - 27 [-27,1)U(1, + ∞ D [1, + 0)

A: We have to solve

Q: 8- 7- 6- 3- 2- 2- híx) g(x) 3 X-values 4. 5. 3. Tvalues If f(x) = g(h(x)), then f'(1) =

A:

Q: 1/2 3 -1 -3 -2 -1 -2 y = f(x) -3

A:

Q: y 10- - 10 -5 5 10 -5 |-10| f(x) = -2x + 1 f(x) 3D —2x2 - 9х 1 + 5x2 4 f(x) f(x) = x4 + 2x3 %3D f(x)…

A: Given

Q: 1-4, xs1 7) f(x) = %3D ++2, x> 1 -8 +一七

A: In this question we have to graph the function.

Q: -1 -2 < x < -1, -1 < x < 0, 0 < x < 1, 1 <x < 2. f(x) = 1

A: Given that f(x)=-1,       -2&lt;x&lt;-10,        -1&lt;x&lt;01,       0&lt;x&lt;10,…

Q: 1 and g(x)=x² +2, then go fmay be expressed as x-2 axa + 2ßx + ¥ χα + βχ - β If f(x)=- g(f(x)) = =…

A:

Q: 5- y= g(x) 4- 3+ 2+ 1- 4 5 6 7 8 9 10 I1 12

A: topic-functions domain is the values of x for which function is defined range is the values obtained…

Q: If (2)-3.f(2)-1, g(x)=1/x, and htx)-[fx)][g(x)], then what is h'(2)?

A: Given that h(x)=[f(x)][g(x)] So, using the product rule,  h'(x)= [f'(x)][g(x)] + [f(x)][g'(x)] Then…

Q: -2 -1 1 _fx) g(x) 0 2-2 -1 2 5 -2 1 1 3 Determine the value of g'(f-(-2)) -1 O-2 1

A: We have to find the point