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Popular Functions & Graphing Problems

amplitude of f(x)=4sin(2x-pi/6)+2	amplitude\:f(x)=4\sin(2x-\frac{π}{6})+2
inverse of x^2-3x	inverse\:x^{2}-3x
domain of f(x)=(8x+3)/(7x+9)	domain\:f(x)=\frac{8x+3}{7x+9}
inverse of f(x)=((x-10)^3)/(10)+5	inverse\:f(x)=\frac{(x-10)^{3}}{10}+5
domain of f(x)= 1/(e^x-1)	domain\:f(x)=\frac{1}{e^{x}-1}
critical g(t)=tsqrt(4-t)	critical\:g(t)=t\sqrt{4-t}
domain of f(x)=((x+1/x+11))/(x+1/x+2)	domain\:f(x)=\frac{(x+\frac{1}{x}+11)}{x+\frac{1}{x}+2}
domain of f(x)= 1/4 x-1/2	domain\:f(x)=\frac{1}{4}x-\frac{1}{2}
domain of (2e^x+3)/(e^x-4)	domain\:\frac{2e^{x}+3}{e^{x}-4}
shift-(cos(pi(11x)/6))/(2)-2	shift\:-\frac{\cos(π\frac{11x}{6})}{2}-2
domain of f(x)= 1/(sqrt(9-t))	domain\:f(x)=\frac{1}{\sqrt{9-t}}
range of ((x+2)^2)/(x-1)	range\:\frac{(x+2)^{2}}{x-1}
range of csc(pi/3 x+pi)	range\:\csc(\frac{π}{3}x+π)
inverse of y=log_{3}(x)	inverse\:y=\log_{3}(x)
f(x)=x^4	f(x)=x^{4}
extreme f(x)=-x^3+3x^2+24x+3	extreme\:f(x)=-x^{3}+3x^{2}+24x+3
domain of f(x)=(-5x^2)/((x-4)(x+3))	domain\:f(x)=\frac{-5x^{2}}{(x-4)(x+3)}
inverse of (2x-3)/4	inverse\:\frac{2x-3}{4}
range of x^5	range\:x^{5}
line y=-x+2	line\:y=-x+2
slope ofintercept x+3y=-9	slopeintercept\:x+3y=-9
perpendicular x-6y-7	perpendicular\:x-6y-7
periodicity of y=-cot(x)	periodicity\:y=-\cot(x)
domain of f(x)=(3a)/(2a+25)	domain\:f(x)=\frac{3a}{2a+25}
asymptotes of f(x)=(x^2-64)/(2x^2+10)	asymptotes\:f(x)=\frac{x^{2}-64}{2x^{2}+10}
domain of f(x)=(6x+36)/x	domain\:f(x)=\frac{6x+36}{x}
domain of f(x)= x/(1+x)	domain\:f(x)=\frac{x}{1+x}
amplitude of f(x)=cos(2x)	amplitude\:f(x)=\cos(2x)
line y=-7x+2	line\:y=-7x+2
domain of f(x)=8x-x^2	domain\:f(x)=8x-x^{2}
domain of f(x)=sqrt((x^2-4)/(x-x^3))	domain\:f(x)=\sqrt{\frac{x^{2}-4}{x-x^{3}}}
domain of f(x)= 1/x+1/(x-3)+1/(x+2)	domain\:f(x)=\frac{1}{x}+\frac{1}{x-3}+\frac{1}{x+2}
extreme f(x)=(14x)/(x^2+49)	extreme\:f(x)=\frac{14x}{x^{2}+49}
critical (x^2-2x-1)/(x+1)	critical\:\frac{x^{2}-2x-1}{x+1}
midpoint (-1,3),(8,-5)	midpoint\:(-1,3),(8,-5)
symmetry-8x^2+4x-2	symmetry\:-8x^{2}+4x-2
extreme (x^2-9x+39)/(x-7)	extreme\:\frac{x^{2}-9x+39}{x-7}
domain of f(x)= 1/(sqrt(x+6))	domain\:f(x)=\frac{1}{\sqrt{x+6}}
intercepts of f(x)=2x^2-4x-5	intercepts\:f(x)=2x^{2}-4x-5
inverse of f(x)=log_{2}(x+5)-9	inverse\:f(x)=\log_{2}(x+5)-9
inverse of f(x)=2(x-3)^2	inverse\:f(x)=2(x-3)^{2}
inverse of f(x)=-(2x)/(x-1)	inverse\:f(x)=-\frac{2x}{x-1}
domain of sqrt(5x-3)	domain\:\sqrt{5x-3}
range of f(x)=4-(x-3)^2	range\:f(x)=4-(x-3)^{2}
intercepts of (x^2-16)/(2x^2-11x+12)	intercepts\:\frac{x^{2}-16}{2x^{2}-11x+12}
midpoint (-1,4),(5,-6)	midpoint\:(-1,4),(5,-6)
parity f(x)=-5x^3	parity\:f(x)=-5x^{3}
line m= 13/20 ,(20,9)	line\:m=\frac{13}{20},(20,9)
inverse of f(x)=2\sqrt[3]{x-3}	inverse\:f(x)=2\sqrt[3]{x-3}
domain of f(x)= 1/(2x+3)	domain\:f(x)=\frac{1}{2x+3}
periodicity of f(x)=tan(4x-pi)+1	periodicity\:f(x)=\tan(4x-π)+1
intercepts of f(x)=(x-2)(x+1)(x-3)	intercepts\:f(x)=(x-2)(x+1)(x-3)
line (-4,-5),(3,0)	line\:(-4,-5),(3,0)
midpoint (-10,2),(0,-7)	midpoint\:(-10,2),(0,-7)
domain of (x-2)/(x^2+49)	domain\:\frac{x-2}{x^{2}+49}
simplify (-3.5)(3.5)	simplify\:(-3.5)(3.5)
extreme f(x)=(x^3+x-2)/(x-x^2)	extreme\:f(x)=\frac{x^{3}+x-2}{x-x^{2}}
symmetry x^2+y=1	symmetry\:x^{2}+y=1
distance (0,0),(12,8)	distance\:(0,0),(12,8)
extreme (x-3)sqrt(x)	extreme\:(x-3)\sqrt{x}
domain of g(x)=x^2-6	domain\:g(x)=x^{2}-6
perpendicular y= 3/5 x-1/5 ,(-3,11)	perpendicular\:y=\frac{3}{5}x-\frac{1}{5},(-3,11)
inverse of 4/(3+x^2)	inverse\:\frac{4}{3+x^{2}}
domain of f(x)=sqrt(4x-42)	domain\:f(x)=\sqrt{4x-42}
intercepts of y=-1/2 x+3	intercepts\:y=-\frac{1}{2}x+3
extreme f(x)=2x^3-9x^2-24x	extreme\:f(x)=2x^{3}-9x^{2}-24x
range of f(x)= x/(x^2-4)	range\:f(x)=\frac{x}{x^{2}-4}
intercepts of r(x)=(x^3+8)/(x^2+4)	intercepts\:r(x)=\frac{x^{3}+8}{x^{2}+4}
extreme 1/4 (9x+3)	extreme\:\frac{1}{4}(9x+3)
f(x)=x^2-24x-12	f(x)=x^{2}-24x-12
inverse of f(x)=((3+x))/x	inverse\:f(x)=\frac{(3+x)}{x}
domain of f(x)= 1/(arctan(x+1))	domain\:f(x)=\frac{1}{\arctan(x+1)}
domain of f(x)= 1/(sqrt(x-4))	domain\:f(x)=\frac{1}{\sqrt{x-4}}
intercepts of f(x)=4x	intercepts\:f(x)=4x
domain of sqrt(7-2x)	domain\:\sqrt{7-2x}
midpoint (-7/2 , 1/3),(1/2 , 10/3)	midpoint\:(-\frac{7}{2},\frac{1}{3}),(\frac{1}{2},\frac{10}{3})
range of 6x+2	range\:6x+2
inflection f(x)=x^2*ln(x/2)	inflection\:f(x)=x^{2}\cdot\:\ln(\frac{x}{2})
inverse of f(x)=4-3/2 x	inverse\:f(x)=4-\frac{3}{2}x
domain of f(t)=(16-t)^{1/6}	domain\:f(t)=(16-t)^{\frac{1}{6}}
inverse of f(x)=log_{6}(x-1)	inverse\:f(x)=\log_{6}(x-1)
distance (0,0),(3,4)	distance\:(0,0),(3,4)
range of f(x)=sqrt(x+13)	range\:f(x)=\sqrt{x+13}
domain of 3/(sqrt(9-x^2))	domain\:\frac{3}{\sqrt{9-x^{2}}}
slope of 8x+9y=18	slope\:8x+9y=18
domain of 4sqrt(x-2)-1	domain\:4\sqrt{x-2}-1
midpoint (3,-4),(5,4)	midpoint\:(3,-4),(5,4)
inverse of f(x)=(x^{1/3})/3	inverse\:f(x)=\frac{x^{\frac{1}{3}}}{3}
inverse of ln(8t)	inverse\:\ln(8t)
domain of 1/(sqrt(x-8))	domain\:\frac{1}{\sqrt{x-8}}
slope of x-5y=15	slope\:x-5y=15
inverse of f(x)=(\sqrt[3]{x+4})/7	inverse\:f(x)=\frac{\sqrt[3]{x+4}}{7}
symmetry x^2+5	symmetry\:x^{2}+5
inflection x/(x^2+10x+24)	inflection\:\frac{x}{x^{2}+10x+24}
f(x)=e^{x^2}	f(x)=e^{x^{2}}
domain of f(x)=(x+4)/(x^2-16)	domain\:f(x)=\frac{x+4}{x^{2}-16}
slope ofintercept 2y-x=0	slopeintercept\:2y-x=0
parallel 7x+3y=17,(-2,5)	parallel\:7x+3y=17,(-2,5)
critical f(x)=2x^{2/3}+x^{5/3}	critical\:f(x)=2x^{\frac{2}{3}}+x^{\frac{5}{3}}
asymptotes of f(x)= 1/(x^2-25)	asymptotes\:f(x)=\frac{1}{x^{2}-25}

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