Please help
Identify the horizontal asymptote of f(x) = 3 over 5 x. y = 3 over 5 y = 0 y = 5 over 3 No horizontal asymptote
@Nnesha
@HS_CA
Evaluate the following. 104 100,000 40 10,000 1,000
for\(\color{green}{\rm Horizontal ~asy.}\) focus on highest degrees ~if the highest degree of the numerator is greater than the denominator then `No horizontal asy.` \[\color{reD}{\rm N}>\color{blue}{\rm D}\] example \[\large\rm \frac{ 7x^\color{ReD}{3} +1}{ 4x^\color{blue}{2}+3 }\] ~if the highest degree of the denominator is greater than the highest degree of the numerator then `y=0` would be horizontal asy. \[\rm \color{reD}{N}<\color{blue}{\rm D}\] example:\[\large\rm \frac{ 7x^\color{red}{2}+1 }{ 4x^\color{blue}{3}+3 }\] ~if both degrees are the same then divide the leading coefficient of the numerator by the leading coefficient of the denominator \[\rm \color{red}{N}=\color{blue}{D}\]\[\large\rm \frac{ 8x^\color{reD}{3}+1 }{ 4x^\color{blue}{3}+3 }\] \[\rm \frac{ 8x^3 }{ 4x^3 } =2\] horizontal asy. =2
looks long but there are few lines to read :=))
Evaluate the following. 104 100,000 40 10,000 1,000 help
let me know if you don't understand anything from that :=))
\[\huge\rm f(x)=\frac{3}{5x}\] is same as \[\huge\rm \frac{ 3x^0 }{ 5x }\] anything to the zero power equal to one that's how its just 3 in the equation \[\large\rm \frac{ 3x^0 }{ 5x }\] so which rule you should apply ? what's the degree of the numerator and what's the degree of the denominator ?
very right
@phi
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