x² – 4 when x < 2 X - 2 ax? – bx + 3 2х — а + b f(x) = when 2

Q: x 2 -x – 2 if Which is the correct conclusion about the function h(x) %3| 3 if - h has a removable…

A: Given: Removable discontinuity: Function f(x) has a removable discountinuity at x=a if following…

Q: Given the function g(x) = 6x° + 18x? – 54x, find the first derivative, g'(x). g'(x) = Notice that…

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Q: 3z2 + 7x + 4 Let f(x) : 2x2 + 9x This function has: 1) A y-intercept at the point 2) x-intercepts at…

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Q: 2x? – 7x – 15 Let f(x) 2a2 + læ – 1 This function has: 1) A y-intercept at the point 2) x-intercepts…

A: For y-intercept, put x=0 to find y. For x-intercept, put y=0 to find x. The line x=L is a vertical…

Q: 4x2 + 17x- 15 f(x) = * # (-5) + 14x + 45 C, T = (-5) What value of C would make f(x) continuous at x…

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Q: solve f´(2) if f(x) = x^3 – 6x^2 + 9x + 3 a).  For which x is the function decreasing? Show using…

A: According to the given information,

Q: f(x) = x/x² + 1 efined on the interval [-5, 4]. -) f(x) is concave down on the open interval [-5,0]…

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Q: 2 one factor of the function flx) =X²- 9X "+20 X -12 is (x-6), Describe how to find the X-…

A: The x-intercept is the point at which the graph crosses the x-axis i.e.,f(x)=0,At this point, the…

Q: 1B1(a): Find the value of k that makes function continuous at z = 4 4 + 8 f(x) = 7 k I< 4 I B1(b):…

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Q: 5 8 1. For the function f (x) = 1 +² - x2 a. Find the vertical and horizontal asymptote(s) b. Find…

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Q: 2x + 11z + 12 3z + 10z + 3 Let f(z) = This function has: 1) A y intercept at the point 2) x…

A: Given, fx = 2x2 + 11x + 123x2 + 10x + 3To find the y-intercept, we must substitute in 0 for each…

Q: On the graph of f (x) [-27, 0), for what value of x does f(x) = 1? Choose all answers that apply. =…

A: The given function is: f(x)=csc(x) ;           -2π≤x&lt;0

Q: 1. What is the value of f at -5? 2. For what values of x is f(x) = g(x): Separate answers with…

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Q: x + 4 Find the local maximum of f(x) = x2 + 7 The local max occurs when x =

A: The given function is: fx=x+4x2+7 To find the local maximum of f(x).

Q: Find the maxima of f(x,y)=2x+4y restricted to the curve x^2+y^2=1, x is greater than or equal to 0,…

A: The given condition curve x2+y2=1y=1-x2 Put y in f(x,y)

Q: For x E [-14, 14] the function f is defined by f(x) = a° (x + 7)² On which two intervals is the…

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Q: Find the absolute maximum and minimum y-values of f(x)= (2x)/((1+4x2)2) on the interval [-5,7], as…

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Q: |-V16-x² if -43 Sketch an accurate graph of f(x). Label the scale on your axes. State the domain and…

A: Since you have sent more than 3 sub parts therefore according to our policies we are bound to answer…

Q: 3. Given the following function: y = f(x) ==x³ - ;x² – 12x +3 %3D Find the values of x at which this…

A: Given: f(x)=13x3-12x2-12x+3 To find: x values at which given function takes a local maximum and…

Q: B3(a): Find the critical points of the function f(x) = 4x² – 8x. B3(b): Apply Rolle's theorem for…

A: Given  f(x)=4x2-8x  Differentiate with respect to x  f'(x)=4(2x)-8(1)  f'(x)=8x-8 Put f'(x)=0 8x-8=0…

Q: i. Consider the function f(x)=4x3+36x2-480x+12 a. Find the slope of this function at x=2.' b. Give…

A: The critical point on a function is the point on the function where it is no longer differentiable.…

Q: 3x2 + 7x + 2 Let f(x) = 2x2 11x + 5 - This function has: 1) A y-intercept at the point 2)…

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Q: 3x Q.6 Find the absolute maximum and minimum values of function f(x)= √4x²+1 the interval ; [-1, 1]…

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Q: f(x) = xVx² + 9 defined on the interval (-4, 6). a.) f(x) is concave down on the оpen interval b.)…

A: Calculating, first and second derivative of f(x).

Q: B3(a): Find the critical points of the function f(x) = 4æ³ – 12x. B3(b): Apply Rolle's theorem for…

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Q: 4. For the function f(x) = x³ – 3x? (-1<x<3) (a) Find f' and f". (b) Find the critical points. Which…

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Q: 14- f(x)=x²-2x-3 find the root of f(x)=0 in the interval [25]. use False position method; Xroot = Xu…

A: fx=x2-2x-3 To find the root of fx=0 in the interval 2, 5.To use False position method : xroot,…

Q: 3x? + 17x + 10 Let f(x) 2x2 – 7x – 4 This function has: 1) A y intercept at the point 2) x…

A: Explained below

Q: 3x" - Let f(x) : x). 3x2 + læ – 2 This function has: 1) A y intercept at the point 2) x intercepts…

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Q: 6

A: Given information:Jim works for a clothing store. He gets paid $150 per week base salary, plus 8%or…

Q: 3 4 At what x-values does the function appear to not be continuous? x =| 3 At what x-values does the…

A: The definition of the continuous and differentiable function helps to find the required answer to…

Q: B1(a): Find the value of k that makes function continuous at x = 4 S3x + 8 x > 4 f(x) = 4x – k x < 4…

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Q: 2x2 - 23x + 63 f(x) = 4x2 - 33x + 35 %3D C, x = 7 What value of C would make f(x) continuous at x =…

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Q: f(x) = xVx² + 16 defined on the interval [-6, 5]. A. f(x) is concave down on the open interval from…

A: f(x) =x x2 +16 (i) find the interval in which function is concave down. (ii) find the interval in…

Q: 3x2 + 19x + 20 Let f(x) = %3D 3x2 + 4x 4 - This function has: 1) A y intercept at the point 2) x…

A: To find out y intercept we need to substitute x=0…

Q: -3x2 — 16х — 16 x + (-4) f(x) = 4x2 + 23x + 28 С, X = (-4) What value of C would make f(x)…

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Q: 3 x -3 2x+1 and solve its RHL and LHL (Limits).

A: NOTE: Refresh your page if you can't see any equations. . find the left-side limit of the function…

Q: The function f(#) = 4x' + 6z² – 672r + 3 | is decreasing on the interval ( It is increasing on the…

A: As we know that; To calculate the interval for the function fx increases, f'x&gt;0. And To calculate…

Q: 1 3 1 Q.2 Find the intervals on which f(x) -x² – 42x + 19 is increasing and the intervals on which…

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Q: (2) For the function f(x) =-x² - 24x +19 3 (i) Determine the turning points and the values of the…

A: Concave up or down can be determined using 2nd derivative test for the function. For detailed…

Q: 2x2 + 15x + 25 Let f(x) 3x2 + 11x + 6 This function has: 1) A y intercept at the point 2) x…

A: f(x)=2x2+15x+253x2+11x+6

Q: 2л2 + 5х — 63 a # (-7) f(x) = -5æ² – 29x + 42 C, æ = (-7) What value of C would make f(x) continuous…

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Q: For the Given Function f(x) = x3-2x2-4x+4 a. find the critical points (turning points) b.…

A: The function is given by fx = x3-2x2-4x+4                                   .......(1) To evaluate…

Q: D. Find the vertical asymptote(s). (x + 1)(- 7)(z + 10) f(2) = (I – 1)(x – 7)(x + 10) I = -1 x = -10…

A: f(x)=x+1x-7x+10x-1x-7x+10

Q: Which comparison of the two functions is the most accurate? a. Both functions have an absolute…

A: Given that, Graph of f(x) gx=2x-1+3

Q: x³f(2)-24 If f(x) is differentiable at x 2 and lim2 28, then f (2) = x-2 Select one: O a. -1 O b. 3…

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Q: (2) For the function f (x) = x3/3 - x2 - 24x + 19 (i) Determine the turning points and the values…

A: Let us consider the function f(x) The Turing point is obtained by f'(x)=0 The inflection is point…

Q: 1. For f(x)= 10 2x determine: %3D 3 a) interval(s) where f(x) is increasing b) interval(s) where…

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Q: 2. For the function f(x)=x^3/3 - x^2 - 24x +19 i) determine the turning point and the values of the…

A: The given function is  f(x)=x^3/3 - x^2 - 24x +19