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Popular Functions & Graphing Problems
asymptotes of f(x)=((x-4))/(3x-x^2)
asymptotes\:f(x)=\frac{(x-4)}{3x-x^{2}}
critical (e^x)/(x^2)
critical\:\frac{e^{x}}{x^{2}}
inverse of f(x)=(x+1)/5
inverse\:f(x)=\frac{x+1}{5}
inflection-0.5x^2+2.5x+4.5
inflection\:-0.5x^{2}+2.5x+4.5
perpendicular-x+4y=9
perpendicular\:-x+4y=9
inflection 2x^3-5x^2+4x+2
inflection\:2x^{3}-5x^{2}+4x+2
perpendicular y= 2/5 x+2,(0,2)
perpendicular\:y=\frac{2}{5}x+2,(0,2)
range of f(x)=sqrt(x-4)
range\:f(x)=\sqrt{x-4}
domain of (sqrt(49-x^2))/(sqrt(x^2-16))
domain\:\frac{\sqrt{49-x^{2}}}{\sqrt{x^{2}-16}}
domain of (3+4x)/(1-5x)
domain\:\frac{3+4x}{1-5x}
domain of f(x)=(2x)/(sqrt(x+1))
domain\:f(x)=\frac{2x}{\sqrt{x+1}}
critical e^x
critical\:e^{x}
domain of f(x)=sqrt(-9x+54)
domain\:f(x)=\sqrt{-9x+54}
perpendicular y=x+2
perpendicular\:y=x+2
domain of (2-x)/(x^2+4x-32)
domain\:\frac{2-x}{x^{2}+4x-32}
slope of 5/7
slope\:\frac{5}{7}
critical (4x)/(x^2+4)
critical\:\frac{4x}{x^{2}+4}
domain of f(x)=(47)/(10x-15)
domain\:f(x)=\frac{47}{10x-15}
inverse of f(x)=(x^2+6)/2
inverse\:f(x)=\frac{x^{2}+6}{2}
intercepts of f(x)=(x^2+x-2)/(x^2-3x-4)
intercepts\:f(x)=\frac{x^{2}+x-2}{x^{2}-3x-4}
parallel 3y=2x+5
parallel\:3y=2x+5
symmetry (-5x+25)/9
symmetry\:\frac{-5x+25}{9}
domain of sqrt(11-4x)
domain\:\sqrt{11-4x}
range of f(x)=x^2+16x+8
range\:f(x)=x^{2}+16x+8
y=1
y=1
inverse of f(x)=-2x+3
inverse\:f(x)=-2x+3
extreme f(x)=5cos^2(x)
extreme\:f(x)=5\cos^{2}(x)
critical f(x)=x-e^x
critical\:f(x)=x-e^{x}
range of f(x)=x^3+1
range\:f(x)=x^{3}+1
line m=-2/3 ,(0,-2)
line\:m=-\frac{2}{3},(0,-2)
parity f(x)=1-\sqrt[3]{x}
parity\:f(x)=1-\sqrt[3]{x}
inverse of f(x)=8x+2
inverse\:f(x)=8x+2
line m=(0-5-0)/(0-5-0)
line\:m=\frac{0-5-0}{0-5-0}
domain of f(x)=(x+6)
domain\:f(x)=(x+6)
intercepts of f(x)=5x-13
intercepts\:f(x)=5x-13
inverse of ((x-4)^5)/8+8
inverse\:\frac{(x-4)^{5}}{8}+8
perpendicular y=5x-1
perpendicular\:y=5x-1
range of 3/x
range\:\frac{3}{x}
inverse of f(x)=2x^{1/3}+8
inverse\:f(x)=2x^{\frac{1}{3}}+8
asymptotes of (x^2+8x+16)/(x+4)
asymptotes\:\frac{x^{2}+8x+16}{x+4}
perpendicular y=2x-2
perpendicular\:y=2x-2
inflection x^3+x^2-4x-4
inflection\:x^{3}+x^{2}-4x-4
shift sin(3x)
shift\:\sin(3x)
inverse of f(x)=(-x-5)/3
inverse\:f(x)=\frac{-x-5}{3}
domain of f(x)=sqrt(x/(x^2-9))
domain\:f(x)=\sqrt{\frac{x}{x^{2}-9}}
inverse of f(x)= 2/x+1
inverse\:f(x)=\frac{2}{x}+1
intercepts of x^2-x-2
intercepts\:x^{2}-x-2
slope ofintercept 10x-y=-7
slopeintercept\:10x-y=-7
distance (-1,6),(2,8)
distance\:(-1,6),(2,8)
inverse of f(x)=3(x)^2
inverse\:f(x)=3(x)^{2}
critical f(x)=x^7-7x^5
critical\:f(x)=x^{7}-7x^{5}
range of f(x)=sqrt(9-x)
range\:f(x)=\sqrt{9-x}
domain of f(x)=sqrt(|x^2-1|)
domain\:f(x)=\sqrt{\left|x^{2}-1\right|}
inverse of f(x)= 1/(11.25x)-1/90
inverse\:f(x)=\frac{1}{11.25x}-\frac{1}{90}
domain of g(x)=2x+4
domain\:g(x)=2x+4
asymptotes of f(x)=(x+4)/(x-1)
asymptotes\:f(x)=\frac{x+4}{x-1}
domain of f(x)=(x/(x+1))/(x/(x+1)+1)
domain\:f(x)=\frac{\frac{x}{x+1}}{\frac{x}{x+1}+1}
simplify (5.2)(5.8)
simplify\:(5.2)(5.8)
domain of f(x)=(x+3)/(2x^2-1)
domain\:f(x)=\frac{x+3}{2x^{2}-1}
domain of ln(x-8)
domain\:\ln(x-8)
parity f(x)=2x^3+x
parity\:f(x)=2x^{3}+x
domain of f(x)=x^4-12x^3+30x^2+36x
domain\:f(x)=x^{4}-12x^{3}+30x^{2}+36x
domain of \sqrt[3]{t-1}
domain\:\sqrt[3]{t-1}
range of sqrt(16-3x)
range\:\sqrt{16-3x}
domain of f(x)=(x+1)/(sqrt(2x-8))
domain\:f(x)=\frac{x+1}{\sqrt{2x-8}}
critical x^3-x^2-x+2
critical\:x^{3}-x^{2}-x+2
domain of f(x)=(x^3)/(x^2+3x-10)
domain\:f(x)=\frac{x^{3}}{x^{2}+3x-10}
domain of f(x)=-2x-3
domain\:f(x)=-2x-3
domain of f(x)=((12x-3))/((9x^2-4))
domain\:f(x)=\frac{(12x-3)}{(9x^{2}-4)}
distance (5,8),(-3,4)
distance\:(5,8),(-3,4)
midpoint (5,-6),(-7,-2)
midpoint\:(5,-6),(-7,-2)
domain of f(x)=((x^4))/(x^2+x-12)
domain\:f(x)=\frac{(x^{4})}{x^{2}+x-12}
shift f(x)=5sin(2/3 x+2/9 pi)
shift\:f(x)=5\sin(\frac{2}{3}x+\frac{2}{9}π)
asymptotes of f(x)=(x^2+x-6)/(x-3)
asymptotes\:f(x)=\frac{x^{2}+x-6}{x-3}
extreme f(x)=x^4e^x-4
extreme\:f(x)=x^{4}e^{x}-4
range of sqrt(25-x^2)
range\:\sqrt{25-x^{2}}
domain of (ln(x-3))/(ln(e^x-e^3))
domain\:\frac{\ln(x-3)}{\ln(e^{x}-e^{3})}
intercepts of cos(6x)
intercepts\:\cos(6x)
inflection g(x)= x/(x+7)
inflection\:g(x)=\frac{x}{x+7}
asymptotes of (1+x^4)/(x^2-x^4)
asymptotes\:\frac{1+x^{4}}{x^{2}-x^{4}}
inverse of f(x)=(20)/x-3
inverse\:f(x)=\frac{20}{x}-3
inverse of f(x)=(4x)/(5-x)
inverse\:f(x)=\frac{4x}{5-x}
parity (4x)/(x^2+4)
parity\:\frac{4x}{x^{2}+4}
asymptotes of f(x)=(x^2+x-30)/(x-6)
asymptotes\:f(x)=\frac{x^{2}+x-30}{x-6}
inverse of f(x)=\sqrt[3]{x-1}-2
inverse\:f(x)=\sqrt[3]{x-1}-2
domain of sqrt(x^2+8x+14)
domain\:\sqrt{x^{2}+8x+14}
domain of f(x)=(y-10)/(y^2+3)
domain\:f(x)=\frac{y-10}{y^{2}+3}
slope ofintercept 12x+3y=-18
slopeintercept\:12x+3y=-18
domain of (x+2)/(x^3+8)
domain\:\frac{x+2}{x^{3}+8}
inverse of f(x)=(2x-4)/3
inverse\:f(x)=\frac{2x-4}{3}
asymptotes of (x^2-25)/(x-5)
asymptotes\:\frac{x^{2}-25}{x-5}
inverse of (-x-5)/3
inverse\:\frac{-x-5}{3}
extreme 1/9 x^4-4/9 x^3
extreme\:\frac{1}{9}x^{4}-\frac{4}{9}x^{3}
inverse of x^2-x
inverse\:x^{2}-x
inverse of x^2-9
inverse\:x^{2}-9
slope ofintercept 2/3 x+8=y-3
slopeintercept\:\frac{2}{3}x+8=y-3
domain of f(x)=-2x^2+1
domain\:f(x)=-2x^{2}+1
inverse of f(x)=(\sqrt[4]{x}+6)/7-10
inverse\:f(x)=\frac{\sqrt[4]{x}+6}{7}-10
extreme f(x)=x^{1/3}(x+8)
extreme\:f(x)=x^{\frac{1}{3}}(x+8)
amplitude of y= 1/2 cos(x)
amplitude\:y=\frac{1}{2}\cos(x)
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