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Q: determine the intervals where H(x) = ( x+2)(x-4)3>0
A: Set H(x)=0 and find x.
Q: -1 if a 2 Sketch a graph of f(x)
A: f(-2)=-1 Since, x≤-2 So, f(x) include the point (-2, -1) f(-2-)=-2+1=-1 f(2)=2+1=3 Since, -2<x≤2…
Q: /1 Points] Let f(x) = DETAILS x + 19 3 if x 2 Compute each of the following values. 10 (a) f(-1) =…
A:
Q: (-3 if z 2
A: Here is a step by step solution of the problem. We have proved discontinuity at x=2 by evaluation…
Q: . Let G(x)= x+3)2, if x ≤ -1; 2-x if 1<<1; Find all values of a where G is not continuous. , if x 1.
A:
Q: Q1// Graph and discuss, with detail, the continuity of the function -1 <x< 0 x2- 1 2x 0 <x< 1 y =…
A: The given function is y=fx=x2-1,-1≤x<02x,0<x<11,x=1-2x+4,1<x<20,2<x<3
Q: discontinuities of f(x) = =*+¬12 z-3
A: Given:
Q: e. lim f(x) x→ 1+ f. lim f(x) x→ 1
A: Given f( x ) = ( 2 - x ) if x < -1 = 3 if -1 ≤ x ≤ 1 = -( x -…
Q: -a -1 for f (x) = { x + 2 x 3 Find f(-2)
A:
Q: If 14 < f(x) < 18, then </ f(x)dr <
A: Given To find
Q: If f(x)=3x-2 and -5<x<5, which of the following defines the range of f(x)? A) -17<f(x)<13 B) -…
A:
Q: limit X----1 t+1/(t + 1)
A: Given function: t+1/(1+t)
Q: f(x) = = 3x – 5 1 -2 for for for Find f(−1) x < 1 x = 1 1 < x < 5
A: Given function
Q: f(x) = - 4x+5 if -1<x<2 3x-8 if 2≤x≤4 The domain of the piecewise defined function fis [-1,2]U[2,4]
A: Given a piece wise function
Q: F(x) = x 1 + 3x2 - — 16х — 20 y 100 50 X - 10 -5 -50! (a) From the graph, estimate where f"(x) > 0.…
A: a) f"(x)>0 By looking at the graph we can conclude that it between the point (0 to -5). As the…
Q: 6) Determine constants a and b such that f(x) is continuous for all values of x. ax + 3, if x> 5 8,…
A:
Q: (c) Find the constants a and b so that the function f (x) is continuous everywhere. Also graph the…
A: Solution:Given f(x)=x+aif -∞<x<4(x-1)2if 4≤x≤9Bx+1if 9<x<∞To find 'a' and 'b'Also graph…
Q: _et f(x) = 2-x 3 (-(x-1)² if x1
A:
Q: f(x) = (x+3)² − 3 -x-3 4 for for for Find f(-3) x 2
A: This is question of algebra here piecewise function is given we have to find value of function…
Q: (x + 3)² + 5 for x 2 Find f(-1)
A: Given problem:-
Q: 3 2 1 -7 -6 -5 -4 -3 -2 -1 -7 2 { f(x) = { { 3 4 5 4 2 6 q if -6 < x < −1 if -1 < x <3 if 3 < x < 6
A:
Q: -4 if x1
A: The given function is: f(x)=-4 if x<-2(x+1)2-1 if -2≤x≤1-14x+2if x>1
Q: 3/4(8y-9)<3
A: We multiply both sides by 4 first.
Q: 6-|x/3|<2
A: Consider the given inequality 6-|x/3|<2
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- -x²+1 if -20sxs0 Let f(x)={-3x+2 if -4x and g(x) = x+1 Find (fog)(3). 32-x if Let f(x) = 3 x 1 Determine the following.(-(z+1)² for -1< x < 2 f (x) = 4 for 2< a <5 Find f(2)Recommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, IncorporatedNumerical Methods for EngineersAdvanced MathISBN:9780073397924Author:Steven C. Chapra Dr., Raymond P. CanalePublisher:McGraw-Hill EducationIntroductory Mathematics for Engineering Applicat…Advanced MathISBN:9781118141809Author:Nathan KlingbeilPublisher:WILEYMathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,Advanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, IncorporatedNumerical Methods for EngineersAdvanced MathISBN:9780073397924Author:Steven C. Chapra Dr., Raymond P. CanalePublisher:McGraw-Hill EducationIntroductory Mathematics for Engineering Applicat…Advanced MathISBN:9781118141809Author:Nathan KlingbeilPublisher:WILEYMathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,