Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
39101	Find the Domain and Range	f(x)=3(x-1)^2+1	$f (x) = 3 {(x - 1)}^{2} + 1$
39102	Find the Domain and Range	f(x)=3\|8-x\|	$f (x) = 3 \| 8 - x \|$
39103	Find the Domain and Range	f(x)=3e^(-x^2)	$f (x) = 3 e^{- x^{2}}$
39104	Find the Domain and Range	f(x)=3e^x	$f (x) = 3 e^{x}$
39105	Find the Domain and Range	f(x)=3x^2+12x-1	$f (x) = 3 x^{2} + 12 x - 1$
39106	Find the Domain and Range	f(x)=-3x^2+16x+15	$f (x) = - 3 x^{2} + 16 x + 15$
39107	Find the Domain and Range	f(x)=3x^2+4x	$f (x) = 3 x^{2} + 4 x$
39108	Find the Domain and Range	f(x)=-3x^2+5x+8	$f (x) = - 3 x^{2} + 5 x + 8$
39109	Find the Domain and Range	f(x)=3x^2+6x+12x^-2	$f (x) = 3 x^{2} + 6 x + 12 x^{- 2}$
39110	Find the Domain and Range	f(x)=-3x^2+6x+18	$f (x) = - 3 x^{2} + 6 x + 18$
39111	Find the Domain and Range	f(x)=3x^2+9x	$f (x) = 3 x^{2} + 9 x$
39112	Find the Domain and Range	f(x)=3x^2-16x-20	$f (x) = 3 x^{2} - 16 x - 20$
39113	Find the Domain and Range	f(x)=-3x^2-24x-47	$f (x) = - 3 x^{2} - 24 x - 47$
39114	Find the Domain and Range	f(x)=3x^2-2x	$f (x) = 3 x^{2} - 2 x$
39115	Find the Domain and Range	f(x)=-3x^2-4x+15	$f (x) = - 3 x^{2} - 4 x + 15$
39116	Find the Domain and Range	f(x)=3x^2-5x+12	$f (x) = 3 x^{2} - 5 x + 12$
39117	Find the Domain and Range	f(x)=3x^2-5x-2	$f (x) = 3 x^{2} - 5 x - 2$
39118	Find the Domain and Range	f(x)=3x^2-8x+5	$f (x) = 3 x^{2} - 8 x + 5$
39119	Find the Domain and Range	f(x)=3x^2-98x	$f (x) = 3 x^{2} - 98 x$
39120	Find the Domain and Range	f(x)=3x^3	$f (x) = 3 x^{3}$
39121	Find the Domain and Range	f(x)=-3x^3+24x^2-45x	$f (x) = - 3 x^{3} + 24 x^{2} - 45 x$
39122	Find the Domain and Range	f(x)=3x^3-36x-3	$f (x) = 3 x^{3} - 36 x - 3$
39123	Find the Domain and Range	f(x)=3x^4+21x^3-12x^2-84x	$f (x) = 3 x^{4} + 21 x^{3} - 12 x^{2} - 84 x$
39124	Find the Domain and Range	f(x)=3x^4+5x^3-8x^2-2x+9	$f (x) = 3 x^{4} + 5 x^{3} - 8 x^{2} - 2 x + 9$
39125	Find the Domain and Range	f(x)=3x^4+6x^3-5	$f (x) = 3 x^{4} + 6 x^{3} - 5$
39126	Find the Domain and Range	f(x)=3x^4-12x^3	$f (x) = 3 x^{4} - 12 x^{3}$
39127	Find the Domain and Range	f(x)=3x^4-4x^3-12x^2+5	$f (x) = 3 x^{4} - 4 x^{3} - 12 x^{2} + 5$
39128	Find the Domain and Range	F(x)=3x^4-6x^2	$F (x) = 3 x^{4} - 6 x^{2}$
39129	Find the Domain and Range	f(x)=2e^(x-5)-10	$f (x) = 2 e^{x - 5} - 10$
39130	Find the Domain and Range	f(x)=12e^(-6x)-36e^(-6x)x	$f (x) = 12 e^{- 6 x} - 36 e^{- 6 x} x$
39131	Find the Domain and Range	f(x)=12x^(2/3)-4x	$f (x) = 12 x^{\frac{2}{3}} - 4 x$
39132	Find the Domain and Range	f(x)=x^4-2^2+1	$f (x) = x^{4} - 2^{2} + 1$
39133	Find the Domain and Range	f(x)=100000+20x	$f (x) = 100000 + 20 x$
39134	Find the Domain and Range	f(x)=10-8x-2x^2	$f (x) = 10 - 8 x - 2 x^{2}$
39135	Find the Domain and Range	f(x)=10- natural log of x	$f (x) = 10 - \ln (x)$
39136	Find the Domain and Range	f(x)=10x+4/(x^2)	$f (x) = 10 x + \frac{4}{x^{2}}$
39137	Find the Domain and Range	f(x)=12x^3	$f (x) = 12 x^{3}$
39138	Find the Domain and Range	f(x)=-12+3 natural log of x	$f (x) = - 12 + 3 \ln (x)$
39139	Find the Domain and Range	f(x)=13x^2+12x+12	$f (x) = 13 x^{2} + 12 x + 12$
39140	Find the Domain and Range	f(x)=14(6^x)	$f (x) = 14 (6^{x})$
39141	Find the Domain and Range	f(x)=14x(x-1)^3	$f (x) = 14 x {(x - 1)}^{3}$
39142	Find the Domain and Range	f(x)=15-x	$f (x) = 15 - x$
39143	Find the Domain and Range	f(x)=-1-5x+x^2	$f (x) = - 1 - 5 x + x^{2}$
39144	Find the Domain and Range	f(x)=16x(x-1)^3	$f (x) = 16 x {(x - 1)}^{3}$
39145	Find the Domain and Range	f(x)=18x^2-18x+1	$f (x) = 18 x^{2} - 18 x + 1$
39146	Find the Domain and Range	f(x)=19e^0+6	$f (x) = 19 e^{0} + 6$
39147	Find the Domain and Range	f(x)=1- natural log of x-2	$f (x) = 1 - \ln (x - 2)$
39148	Find the Domain and Range	f(x)=2x-2cos(2x)	$f (x) = 2 x - 2 \cos (2 x)$
39149	Graph	f(x)=4x^3-48x	$f (x) = 4 x^{3} - 48 x$
39150	Find the Domain and Range	f(x)=-2x^-2+(-6x^6-2x^4+8x^6+8x^4)/(x^8)	$f (x) = - 2 x^{- 2} + \frac{- 6 x^{6} - 2 x^{4} + 8 x^{6} + 8 x^{4}}{x^{8}}$
39151	Find the Domain and Range	f(x)=-2x^2+12x-23	$f (x) = - 2 x^{2} + 12 x - 23$
39152	Find the Domain and Range	f(x)=-2x^2+8x+9	$f (x) = - 2 x^{2} + 8 x + 9$
39153	Find the Domain and Range	f(x)=2x^2-10x+2	$f (x) = 2 x^{2} - 10 x + 2$
39154	Find the Domain and Range	f(x)=2x^2-2xy+2y^2+4	$f (x) = 2 x^{2} - 2 x y + 2 y^{2} + 4$
39155	Find the Domain and Range	f(x)=2x^2-3x+4	$f (x) = 2 x^{2} - 3 x + 4$
39156	Find the Domain and Range	f(x)=2x^2-3x-3	$f (x) = 2 x^{2} - 3 x - 3$
39157	Find the Domain and Range	f(x)=-2x^2-4x+16	$f (x) = - 2 x^{2} - 4 x + 16$
39158	Find the Domain and Range	f(x)=2x^2-4x+5	$f (x) = 2 x^{2} - 4 x + 5$
39159	Find the Domain and Range	f(x)=2x^2-4x-48	$f (x) = 2 x^{2} - 4 x - 48$
39160	Find the Domain and Range	f(x)=-2x^2-5x-2	$f (x) = - 2 x^{2} - 5 x - 2$
39161	Find the Domain and Range	f(x)=2x^2-9x+10	$f (x) = 2 x^{2} - 9 x + 10$
39162	Find the Domain and Range	f(x)=2x^2-9x+4	$f (x) = 2 x^{2} - 9 x + 4$
39163	Find the Domain and Range	f(x)=2x^2 natural log of x-9x^2	$f (x) = 2 x^{2} \ln (x - 9 x^{2})$
39164	Find the Domain and Range	f(x)=-2x^2-xy-3y^2+50x+70y-200	$f (x) = - 2 x^{2} - x y - 3 y^{2} + 50 x + 70 y - 200$
39165	Find the Domain and Range	f(x)=-2x^3+12x^2-18x	$f (x) = - 2 x^{3} + 12 x^{2} - 18 x$
39166	Find the Domain and Range	f(x)=2x^3+15x^2-84x+4	$f (x) = 2 x^{3} + 15 x^{2} - 84 x + 4$
39167	Find the Domain and Range	f(x)=2x^3+2x^2-18x-18	$f (x) = 2 x^{3} + 2 x^{2} - 18 x - 18$
39168	Find the Domain and Range	f(x)=2x^3+39x^2+216x+6	$f (x) = 2 x^{3} + 39 x^{2} + 216 x + 6$
39169	Find the Domain and Range	f(x)=2x^3+5x^2-25x	$f (x) = 2 x^{3} + 5 x^{2} - 25 x$
39170	Find the Domain and Range	f(x)=2x^3+6x^2-48x+10	$f (x) = 2 x^{3} + 6 x^{2} - 48 x + 10$
39171	Find the Domain and Range	f(x)=2x^3+9x^2-168x+23	$f (x) = 2 x^{3} + 9 x^{2} - 168 x + 23$
39172	Find the Domain and Range	f(x)=2x^3-15x^2+36x-20	$f (x) = 2 x^{3} - 15 x^{2} + 36 x - 20$
39173	Find the Domain and Range	f(x)=2x^3-3x^2-12x	$f (x) = 2 x^{3} - 3 x^{2} - 12 x$
39174	Find the Domain and Range	f(x)=2x^3-3x^2-2	$f (x) = 2 x^{3} - 3 x^{2} - 2$
39175	Find the Domain and Range	f(x)=2x^3-30x^2+18x	$f (x) = 2 x^{3} - 30 x^{2} + 18 x$
39176	Find the Domain and Range	f(x)=2x^3-48x^2+384x-1024	$f (x) = 2 x^{3} - 48 x^{2} + 384 x - 1024$
39177	Find the Domain and Range	f(x)=-2x^3-6x^2+3	$f (x) = - 2 x^{3} - 6 x^{2} + 3$
39178	Find the Domain and Range	f(x)=-2x^3-8x^2+18x+72	$f (x) = - 2 x^{3} - 8 x^{2} + 18 x + 72$
39179	Find the Domain and Range	f(x)=2x^3-8x^2+5x-8	$f (x) = 2 x^{3} - 8 x^{2} + 5 x - 8$
39180	Find the Domain and Range	f(x)=2x^3*(9x^2)+12x	$f (x) = 2 x^{3} \cdot (9 x^{2}) + 12 x$
39181	Find the Domain and Range	f(x)=2x^3 at (-2,-16)	$f (x) = 2 x^{3}$ at $(- 2, - 16)$
39182	Find the Domain and Range	f(x)=2x^4-12x^2	$f (x) = 2 x^{4} - 12 x^{2}$
39183	Find the Domain and Range	f(x)=2x^4-2x^3+2	$f (x) = 2 x^{4} - 2 x^{3} + 2$
39184	Find the Inflection Points	x^3+33x^2	$x^{3} + 33 x^{2}$
39185	Find the Local Maxima and Minima	p(x)=-1/3x^3-2/3x^2-15x-4	$p (x) = \frac{- 1}{3} x^{3} - \frac{2}{3} x^{2} - 15 x - 4$
39186	Find the Local Maxima and Minima	square root of 3	$\sqrt{3}$
39187	Find Where Increasing/Decreasing Using Derivatives	f(x)=2x^2-4x+3	$f (x) = 2 x^{2} - 4 x + 3$
39188	Find the Average Value of the Function	f(x)=16-x^2 , [-4,4]	$f (x) = 16 - x^{2}$ , $[- 4, 4]$
39189	Find the Average Value of the Function	f(x)=1/(x^2) , (1,2)	$f (x) = \frac{1}{x^{2}}$ , $(1, 2)$
39190	Find the Average Value of the Function	f(x)=x^2-13 , [0, square root of 26]	$f (x) = x^{2} - 13$ , $[0, \sqrt{26}]$
39191	Find the Average Value of the Function	f(x)=x^2-7 , [0,9]	$f (x) = x^{2} - 7$ , $[0, 9]$
39192	Find the Average Value of the Function	f(x)=2x^3-6x^2-48x+9 , (-3,5)	$f (x) = 2 x^{3} - 6 x^{2} - 48 x + 9$ , $(- 3, 5)$
39193	Find the Average Value of the Function	f(x)=49-x^2 , [-7,7]	$f (x) = 49 - x^{2}$ , $[- 7, 7]$
39194	Find the Average Value of the Function	f(x)=5 cube root of x , [0,8]	$f (x) = 5 \sqrt[3]{x}$ , $[0, 8]$
39195	Find the Average Value of the Function	f(x)=6cos(x)^2-12sin(x) , 0=x=2pi	$f (x) = 6 \cos^{2} (x) - 12 \sin (x)$ , $0 = x = 2 π$
39196	Find the Average Value of the Function	x[1,3,pf(x)^2,x] , f(x) = natural log of x	$x [1, 3, p f {(x)}^{2}, x]$ , $f (x) = \ln (x)$
39197	Find the Local Maxima and Minima	y=tan(x)	$y = \tan (x)$
39198	Find the Local Maxima and Minima	y=x-(250/(x^2+25))	$y = x - (\frac{250}{x^{2} + 25})$
39199	Find the Local Maxima and Minima	y=x(20-2x)(32-2x)	$y = x (20 - 2 x) (32 - 2 x)$
39200	Find the Local Maxima and Minima	y=x(81-x)(54-x)	$y = x (81 - x) (54 - x)$