Mathematics ( Functions ; Hyperbole ; Vertical and Horizontal asymptotes; Grade 10/11/12 ) #mathematics #grade10 #functions #hyperbole #asymptote
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Mathematics ( Functions ; Hyperbole ; Vertical and Horizonta…
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Q) Show that a function 𝑓:𝑅_+β†’π΄βŠ‚π‘, defined as 𝑓(π‘₯)=4π‘₯^2+12π‘₯+15 is one-one. Find gset 𝐴
3:00
Q) Show that a function 𝑓:𝑅_+β†’π΄βŠ‚π‘, defined as 𝑓(π‘₯)=4π‘₯^2+12π‘₯+15 is one-on…
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Q) A function 𝑓:π‘…βˆ’{3/5}βŸΆπ‘…βˆ’{3/5} is defined as 𝑓(π‘₯)=(3π‘₯+2)/(5π‘₯βˆ’3). Show that 𝑓 is one-
2:53
Q) A function 𝑓:π‘…βˆ’{3/5}βŸΆπ‘…βˆ’{3/5} is defined as 𝑓(π‘₯)=(3π‘₯+2)/(5π‘₯βˆ’3). Show tha…
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Q) Show that a function f: R β†’ R defined by f(x) = 2π‘₯/(1+π‘₯^2 ) is neither one-one nor onto.
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Q) Show that a function f: R β†’ R defined by f(x) = 2π‘₯/(1+π‘₯^2 ) is neithe…
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Q) Let f:Aβ†’B be defined by f(x)=(xβˆ’2)/(xβˆ’3), where A=Rβˆ’{3} and B=Rβˆ’{1}. Discuss the biject
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Q) Let f:Aβ†’B be defined by f(x)=(xβˆ’2)/(xβˆ’3), where A=Rβˆ’{3} an…
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Q) Let f: 𝑅_+ β†’ [-5, ∞) be defined as f(x) = γ€–9π‘₯γ€—^2+6π‘₯βˆ’5, where 𝑅_+ is the set of al non-negat
3:00
Q) Let f: 𝑅_+ β†’ [-5, ∞) be defined as f(x) = γ€–9π‘₯γ€—^2+6π‘₯βˆ’5, where 𝑅_+ is th…
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Q) Draw the graph of π‘π‘œπ‘ ^(βˆ’1) π‘₯, where π‘₯∈[βˆ’1, 0]. Also, write its range.
1:37
Q) Draw the graph of π‘π‘œπ‘ ^(βˆ’1) π‘₯, where π‘₯∈[βˆ’1, 0]. Also, write its range.
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If 𝑦=𝑠𝑖𝑛^(βˆ’1) π‘₯,βˆ’1≀π‘₯≀0,then the range of 𝑦 is(A) ((βˆ’πœ‹)/2,0)(B) [(βˆ’πœ‹)/2,0](C) [(βˆ’πœ‹)/2,0
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If 𝑓:𝑅^+→𝑅 is defined as 𝑓(π‘₯)=log_π‘Ž π‘₯(a= 0 and π‘Žβ‰ 1), prove that 𝑓 is a bijection
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If 𝑦=𝑠𝑖𝑛^(βˆ’1) π‘₯,βˆ’1≀π‘₯≀0,then the range of 𝑦 is(A) ((βˆ’πœ‹)/2,0)(B) [(…
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