Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
47101	Find the Maximum/Minimum Value	f(x)=2x^2-2x-1	$f (x) = 2 x^{2} - 2 x - 1$
47102	Find the Maximum/Minimum Value	f(x)=2x^2-6x+k	$f (x) = 2 x^{2} - 6 x + k$
47103	Find the Maximum/Minimum Value	f(x)=-2x^2+12x-3	$f (x) = - 2 x^{2} + 12 x - 3$
47104	Divide Using Synthetic Division	(x^5+9x^4+21x^3+20x^2+15x+21)/(x+6)	$\frac{x^{5} + 9 x^{4} + 21 x^{3} + 20 x^{2} + 15 x + 21}{x + 6}$
47105	Find the Vertex	f(x)=(x+4)^2+4	$f (x) = {(x + 4)}^{2} + 4$
47106	Find the Vertex	f(x)=-(x+1)^2	$f (x) = - {(x + 1)}^{2}$
47107	Find the Vertex	f(x)=x^2+3x+5/4	$f (x) = x^{2} + 3 x + \frac{5}{4}$
47108	Find the Vertex	f(x)=3x^2-24x+51	$f (x) = 3 x^{2} - 24 x + 51$
47109	Find the Vertex	f(x)=3x^2+9x	$f (x) = 3 x^{2} + 9 x$
47110	Find the Vertex	f(x)=3x^2-18x+31	$f (x) = 3 x^{2} - 18 x + 31$
47111	Find the Vertex	f(x)=3x^2+12x+8	$f (x) = 3 x^{2} + 12 x + 8$
47112	Find the Vertex	f(x)=3x^2+6x+2	$f (x) = 3 x^{2} + 6 x + 2$
47113	Find the Vertex	f(x)=-3(x+2)^2-1	$f (x) = - 3 {(x + 2)}^{2} - 1$
47114	Find the Vertex	f(x)=2x^2+8x+5	$f (x) = 2 x^{2} + 8 x + 5$
47115	Find the Vertex	f(x)=2x^2-12x+15	$f (x) = 2 x^{2} - 12 x + 15$
47116	Find the Vertex	f(x)=\|x-4\|+3	$f (x) = \| x - 4 \| + 3$
47117	Find the Vertex	f(x)=(x-8)^2	$f (x) = {(x - 8)}^{2}$
47118	Find the Asymptotes	f(x)=1-2^(x+3)	$f (x) = 1 - 2^{x + 3}$
47119	Find the Asymptotes	f(x)=1+1/x	$f (x) = 1 + \frac{1}{x}$
47120	Find the Asymptotes	f(x) = log of 3x-6	$f (x) = \log (3 x - 6)$
47121	Find the Asymptotes	f(x) = log base 2 of x+1	$f (x) = \log_{2} (x + 1)$
47122	Find the Asymptotes	f(x) = log base 2 of x+2	$f (x) = \log_{2} (x + 2)$
47123	Find the Asymptotes	f(x)=(x-2)/(x^2-8x+12)	$f (x) = \frac{x - 2}{x^{2} - 8 x + 12}$
47124	Find the Asymptotes	f(x)=(x-2)/(x^2-9)	$f (x) = \frac{x - 2}{x^{2} - 9}$
47125	Find the Asymptotes	f(x)=(x-7)/(x+5)	$f (x) = \frac{x - 7}{x + 5}$
47126	Find the Asymptotes	f(x)=(x-8)/(x^2-13x+40)	$f (x) = \frac{x - 8}{x^{2} - 13 x + 40}$
47127	Find the Asymptotes	f(x)=(x-1)/(x+4)	$f (x) = \frac{x - 1}{x + 4}$
47128	Find the Asymptotes	f(x)=(x-1)/((x^2+3)(x^2+2))	$f (x) = \frac{x - 1}{(x^{2} + 3) (x^{2} + 2)}$
47129	Find the Asymptotes	f(x)=e^(3x)+4	$f (x) = e^{3 x} + 4$
47130	Find the Asymptotes	f(x)=e^x+6	$f (x) = e^{x} + 6$
47131	Find the Asymptotes	f(x)=3^(x+3)	$f (x) = 3^{x + 3}$
47132	Find the Asymptotes	f(x)=3^(x+1)-2	$f (x) = 3^{x + 1} - 2$
47133	Find the Asymptotes	f(x)=4*(1/3)^x	$f (x) = 4 \cdot {(\frac{1}{3})}^{x}$
47134	Find the Asymptotes	f(x)=2 log base 3 of x	$f (x) = 2 \log_{3} (x)$
47135	Find the Asymptotes	f(x)=2- square root of x+4	$f (x) = 2 - \sqrt{x + 4}$
47136	Find the Asymptotes	f(x)=-2^(-x)	$f (x) = - 2^{- x}$
47137	Find the Asymptotes	f(x)=2^(-x)-3	$f (x) = 2^{- x} - 3$
47138	Find the Asymptotes	f(x)=-2(4/5)^x	$f (x) = - 2 {(\frac{4}{5})}^{x}$
47139	Find the Asymptotes	f(x)=3(5/3)^x	$f (x) = 3 {(\frac{5}{3})}^{x}$
47140	Find the Asymptotes	f(x)=-3^x+1	$f (x) = - 3^{x} + 1$
47141	Find the Asymptotes	f(x)=(x^2-3x+6)/(x-5)	$f (x) = \frac{x^{2} - 3 x + 6}{x - 5}$
47142	Find the Asymptotes	f(x)=(x^2-4)/(x^2-12x+20)	$f (x) = \frac{x^{2} - 4}{x^{2} - 12 x + 20}$
47143	Find the Asymptotes	f(x)=(x^2-x+3)/(x-3)	$f (x) = \frac{x^{2} - x + 3}{x - 3}$
47144	Find the Asymptotes	f(x)=(x^2-81)/(x^3+7x^2-18x)	$f (x) = \frac{x^{2} - 81}{x^{3} + 7 x^{2} - 18 x}$
47145	Find the Asymptotes	f(x)=(x^2-4x+3)/(x^2-3x-4)	$f (x) = \frac{x^{2} - 4 x + 3}{x^{2} - 3 x - 4}$
47146	Find the Asymptotes	f(x)=(x^2-5)/(x+3)	$f (x) = \frac{x^{2} - 5}{x + 3}$
47147	Find the Asymptotes	f(x)=(x^2-5x+6)/(x+4)	$f (x) = \frac{x^{2} - 5 x + 6}{x + 4}$
47148	Find the Asymptotes	f(x)=(x^2-6x-7)/(x^2+3x-70)	$f (x) = \frac{x^{2} - 6 x - 7}{x^{2} + 3 x - 70}$
47149	Find the Asymptotes	f(x)=(x^3-8)/(x^2+2x-8)	$f (x) = \frac{x^{3} - 8}{x^{2} + 2 x - 8}$
47150	Find the Asymptotes	f(x)=(x^3-8)/(x^2-7x+10)	$f (x) = \frac{x^{3} - 8}{x^{2} - 7 x + 10}$
47151	Find the Asymptotes	f(x)=(x^3+1)/(x^2+3x)	$f (x) = \frac{x^{3} + 1}{x^{2} + 3 x}$
47152	Find the Asymptotes	f(x)=(x^3-16x)/(-4x^2+4x+24)	$f (x) = \frac{x^{3} - 16 x}{- 4 x^{2} + 4 x + 24}$
47153	Find the Asymptotes	f(x)=(x^4)/(2x^2)	$f (x) = \frac{x^{4}}{2 x^{2}}$
47154	Find the Asymptotes	f(x)=(x+1)/(x^2+2x-3)	$f (x) = \frac{x + 1}{x^{2} + 2 x - 3}$
47155	Find the Asymptotes	f(x)=(x+12)/(x(x+20))	$f (x) = \frac{x + 12}{x (x + 20)}$
47156	Find the Asymptotes	f(x)=(x+2)/(x^2+2x-8)	$f (x) = \frac{x + 2}{x^{2} + 2 x - 8}$
47157	Find the Asymptotes	f(x)=(x+3)/(x(x+8))	$f (x) = \frac{x + 3}{x (x + 8)}$
47158	Find the Asymptotes	f(x)=(x+3)/(x^2+1)	$f (x) = \frac{x + 3}{x^{2} + 1}$
47159	Find the Asymptotes	f(x)=(x+4)/((x+3)^2(x-5))	$f (x) = \frac{x + 4}{{(x + 3)}^{2} (x - 5)}$
47160	Find the Asymptotes	f(x)=(x+6)/(x(x+18))	$f (x) = \frac{x + 6}{x (x + 18)}$
47161	Find the Asymptotes	g(x)=(4x^2)/(2x^2+1)	$g (x) = \frac{4 x^{2}}{2 x^{2} + 1}$
47162	Find the Asymptotes	g(x)=8/(1+e^(-0.5/x))	$g (x) = \frac{8}{1 + e^{- \frac{0.5}{x}}}$
47163	Find the Asymptotes	g(x)=10/x	$g (x) = \frac{10}{x}$
47164	Find the Asymptotes	g(x)=(x^2-4)/(x^3+x^2-6x)	$g (x) = \frac{x^{2} - 4}{x^{3} + x^{2} - 6 x}$
47165	Find the Asymptotes	g(x)=2^x-5	$g (x) = 2^{x} - 5$
47166	Find the Asymptotes	g(x)=-4^x	$g (x) = - 4^{x}$
47167	Find the Asymptotes	g(x)=4^x+1	$g (x) = 4^{x} + 1$
47168	Find the Asymptotes	g(x)=(x-2)/(x^2+4x+3)	$g (x) = \frac{x - 2}{x^{2} + 4 x + 3}$
47169	Find the Asymptotes	g(x)=((x-4)^2)/((x+8)^2)	$g (x) = \frac{{(x - 4)}^{2}}{{(x + 8)}^{2}}$
47170	Find the Asymptotes	f(x)=tan(x)	$f (x) = \tan (x)$
47171	Find the Asymptotes	f(x)=arctan(x)	$f (x) = \arctan (x)$
47172	Find the Asymptotes	r(x)=(x^2)/(x^2+x-6)	$r (x) = \frac{x^{2}}{x^{2} + x - 6}$
47173	Find the Asymptotes	r(x)=(x^2+x-12)/(x^2-x-6)	$r (x) = \frac{x^{2} + x - 12}{x^{2} - x - 6}$
47174	Find the Asymptotes	r(x)=3/(x^2-4)	$r (x) = \frac{3}{x^{2} - 4}$
47175	Find the Asymptotes	r(x)=(3x^2-12x+13)/(x^2-4x+4)	$r (x) = \frac{3 x^{2} - 12 x + 13}{x^{2} - 4 x + 4}$
47176	Find the Asymptotes	r(x)=x/(x^2-49)	$r (x) = \frac{x}{x^{2} - 49}$
47177	Find the Asymptotes	j(x)=(3x^2-x+1)/(1-x^2)	$j (x) = \frac{3 x^{2} - x + 1}{1 - x^{2}}$
47178	Find the Asymptotes	k(x)=(5x^2)/(x^2-7x)	$k (x) = \frac{5 x^{2}}{x^{2} - 7 x}$
47179	Find the Asymptotes	g(x)=5^(-x)	$g (x) = 5^{- x}$
47180	Find the Asymptotes	g(x)=e^x+3	$g (x) = e^{x} + 3$
47181	Find the Asymptotes	g(x) = natural log of x+3	$g (x) = \ln (x + 3)$
47182	Find the Asymptotes	g(x)=4^(x+1)	$g (x) = 4^{x + 1}$
47183	Find the Asymptotes	h(x)=(8x^2-6x+7)/(4x^3+3)	$h (x) = \frac{8 x^{2} - 6 x + 7}{4 x^{3} + 3}$
47184	Find the Asymptotes	S(x)=(6x^2+1)/(2x^2+x-1)	$S (x) = \frac{6 x^{2} + 1}{2 x^{2} + x - 1}$
47185	Find the Asymptotes	r(x)=(x^3-1)/(x^2+2x-3)	$r (x) = \frac{x^{3} - 1}{x^{2} + 2 x - 3}$
47186	Find the Asymptotes	R(x)=(x+4)/(x(x+12))	$R (x) = \frac{x + 4}{x (x + 12)}$
47187	Find the Asymptotes	f(x)=(2x+3)/(x-5)	$f (x) = \frac{2 x + 3}{x - 5}$
47188	Find the Asymptotes	f(x)=(2x-3)/(-x+3)	$f (x) = \frac{2 x - 3}{- x + 3}$
47189	Find the Asymptotes	f(x)=(-2x-4)/(x^2+x-2)	$f (x) = \frac{- 2 x - 4}{x^{2} + x - 2}$
47190	Find the Asymptotes	f(x)=(3(x-1))/(x-2)	$f (x) = \frac{3 (x - 1)}{x - 2}$
47191	Find the Asymptotes	f(x)=(3(x-3)^2)/((x-1)(x-3))	$f (x) = \frac{3 {(x - 3)}^{2}}{(x - 1) (x - 3)}$
47192	Find the Asymptotes	f(x)=3/(4x)+5	$f (x) = \frac{3}{4 x} + 5$
47193	Find the Asymptotes	f(x)=(2x^4+1)/(x^3)	$f (x) = \frac{2 x^{4} + 1}{x^{3}}$
47194	Find the Asymptotes	f(x)=(2x^2-5x-12)/(3x^2-11x-4)	$f (x) = \frac{2 x^{2} - 5 x - 12}{3 x^{2} - 11 x - 4}$
47195	Find the Asymptotes	f(x)=(3x^2+5)/(3x^2-5)	$f (x) = \frac{3 x^{2} + 5}{3 x^{2} - 5}$
47196	Find the Asymptotes	f(x)=(3x-3)/(x-2)	$f (x) = \frac{3 x - 3}{x - 2}$
47197	Find the Asymptotes	f(x)=2/(x^3-x)	$f (x) = \frac{2}{x^{3} - x}$
47198	Find the Asymptotes	f(x)=(24x^2-14x+1)/(4x-3)	$f (x) = \frac{24 x^{2} - 14 x + 1}{4 x - 3}$
47199	Find the Asymptotes	f(x)=(27-8x^3)/(x^2(2x-3))	$f (x) = \frac{27 - 8 x^{3}}{x^{2} (2 x - 3)}$
47200	Find the Asymptotes	f(x)=1/(x+2)-1	$f (x) = \frac{1}{x + 2} - 1$