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%PDF-1.4 %�� %%EOF How do you graph #F(x,y)=sqrt(x^2+y^2-1)+ln(4-x^2-y^2)#? In each case sketch a graph with the given characteristics. How do you sketch the curve #y=x^5-x# by finding local maximum, minimum, inflection points, asymptotes, and intercepts? Note there is not ONE correct graph. 0000003788 00000 n 221 27 endstream endobj 222 0 obj<>/Metadata 15 0 R/PieceInfo<>>>/Pages 14 0 R/PageLayout/OneColumn/StructTreeRoot 17 0 R/Type/Catalog/LastModified(D:20080519155849)/PageLabels 12 0 R>> endobj 223 0 obj<>/Font<>/ProcSet[/PDF/Text]/ExtGState<>>>/Type/Page>> endobj 224 0 obj<> endobj 225 0 obj<> endobj 226 0 obj<> endobj 227 0 obj<> endobj 228 0 obj<> endobj 229 0 obj<>stream : #x=0#. How do you find intercepts, extrema, points of inflections, asymptotes and graph #y=3x^4-6x^2+5/3#? How do you sketch the graph of #1/(x^2-4)#? How do you sketch the curve #y=x^2/(x^2+9)# by finding local maximum, minimum, inflection points, asymptotes, and intercepts? Solution : From the given question, We understood that the … How do you make the graph for #y=ln(1+x/(ln(1-x)))#? 0000006127 00000 n 's (in green): #f'(x)={e^xcdot(1+e^x)-e^xcdot e^x}/{(1+e^x)^2}=e^x/(1+e^x)^2>0#, #f''(x)={e^x cdot (1+e^x)^2-e^xcdot2(1+e^x)e^x}/{(1+e^x)^4}#, #={e^x(1+e^x)(1-e^x)}/{(1+e^x)^4}={e^x(1-e^x)}/{(1+e^x)^3}#, #f''(x)>0# on #(-infty,0)# and #f''(x)<0# on #(0, infty)#. How do you sketch the graph #y=x+1/x# using the first and second derivatives? 0000005988 00000 n r How do you graph #y = 2x^3 - 4x + 1# using the first and second derivative? How do you sketch the curve #y=cos^2x-sin^2x# by finding local maximum, minimum, inflection points, asymptotes, and intercepts? How do you graph the function #y=5x-x^2#? How do you sketch the curve #y=x+1/x# by finding local maximum, minimum, inflection points, asymptotes, and intercepts? A. f (4) is undefined and 4 These ordered pairs (x, y) will be a starting point for the graph of f. This completes the sign chart for f' . How do you use the first and second derivatives to sketch #f(x) = | (x^2) -1 |#? x�b```b``�d`e`�(e�g@ ~�(Ǌm��=�/�I1�p�$�{��2Z@U��*� P�ٸ�$'�� : ��!-�b �� How do you graph #f(x)=1/x-3x^3# using the information given by the first derivative? 0000001563 00000 n How do you graph #f(x,y) = 10 - 4x - 4y#? How do you sketch the curve #f(x)=x+sqrt(1-x)# ? How do you use the first and second derivatives to sketch #F(x) = ln(x) / sqrt(x)#? If either of these limits is a finite number then is a horizontal asymptote. 0000002852 00000 n 2 f(x) = 1 f( 2) = 1 lim x!4 f(x) = 3 f(4) = 1 Start by drawing out what each limit represents. How do you use the first and second derivatives to sketch #y = x^3 - 12x - 12#? How do you sketch the curve #f(x)=e^x/(1+e^x)# ? How do you find intercepts, extrema, points of inflections, asymptotes and graph #y=2-x-x^3#? Please note: You should not use fractional exponents. How do you find intercepts, extrema, points of inflections, asymptotes and graph #y=x/(x^2+1)#? How do you graph the derivative of #f(x) = x^2#? 0000008072 00000 n How do you sketch the graph #y=e^(3x)-4e^x# using the first and second derivatives? 0000003711 00000 n How do you sketch the curve #f(x)=1+1/x^2# by finding local maximum, minimum, inflection points, asymptotes, and intercepts? �^��D�]z�*�)@&-�\jj�)@&�Iz�*�S��F&�^� Use the limits to sketch a graph. 0000011793 00000 n 0000020742 00000 n Given a function use the following steps to sketch a graph of . How do you sketch the curve #y=x^2+1/x# by finding local maximum, minimum, inflection points, asymptotes, and intercepts? How do you sketch the graph #f(x)=x^3+1#? How do you use the first and second derivatives to sketch #f(x)= x^4 - 2x^2 +3#? How do you sketch the graph #f(x)=2x^3-12x^2+18x-1#? A free graphing calculator - graph function, examine intersection points, find maximum and minimum and much more This website uses cookies to ensure you get the best experience. 0000003095 00000 n 0000020511 00000 n How do you use the first and second derivatives to sketch #y= -(x-2) (x+2) (x-4)#? A free graphing calculator - graph function, examine intersection points, find maximum and minimum and much more This website uses cookies to ensure you get the best experience. endstream endobj 246 0 obj<>/Size 221/Type/XRef>>stream How do you use the first and second derivatives to sketch #y=2x^3- 3x^2 -180x#? How do you find intercepts, extrema, points of inflections, asymptotes and graph #y=(2x)/(x^2-1)#? Sketch the graph of an example of a function f(x) that satisfies all of the following conditions: Here is what I have so far: Am I on the right track? Look below to see them all. the function looks like. How do you use the first and second derivatives to sketch # f(x) = (x+1)e^x#? How do you sketch the curve #y=(x+5)^(1/4)# by finding local maximum, minimum, inflection points, asymptotes, and intercepts? x��Y��8��S��X�uX�y\�%x � ��c/��kvw�o�/%K.��r�nwLDw�ڕΔ2��K��K�Mㇶs�5vj;��6��o?n��|ټ��7�y|�t�;7Y{��#��a��齛ꏯ��=�n�x0�i>i��Wp'�MC�s��5�n2��LAL�N�Ss�Aӹ�L��DE��`�v��cӏ��Y}�Y�Gs��^��=�ߥ��z��y�c�`;!f[��N�}��4��0!M��鈴c�/? How do you sketch the graph #y=x^4-x^3-x# using the first and second derivatives? Match expressions of infinite limits with corresponding graphs. How do you sketch the graph that satisfies f'(x)=1 when x>-2, f'(x)=-1 when x<-2, f(-2)=-4? How do you use the first and second derivatives to sketch #f(x) = sqrt(4 - x^2)#? The best way to start reasoning about limits is using graphs. How do you sketch the graph of #f(x) = (x^2 - 3x + 9)/(x - 3)#? k��8`��S��_�?QEN�C�l�ԛ��)xH拽I�pM�J4U`�E [�4h��W�s��[ʗr��e9��]"�� R��nT��y�N��GCú��S��e��,��A;��xj�S. 0000006024 00000 n 247 0 obj<>stream 221 0 obj <> endobj • Using the leading term, evaluate the limit at positive and negative infinity • If the polynomial factors, find the roots • Analyze the first and second derivatives to determine the shape1 • Sketch using the critical points, IPs, intercepts • Find the domain. How do you graph #f(x)=sinx-sqrt(3)cos x# for x is between [0, 2pi ]?

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