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Home Question Bank Math Pre Calculus Archive 2024 November 07

Pre-calculus Questions from Nov 07,2024

Browse the Pre-calculus Q&A Archive for Nov 07,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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VRAAG 7 Gegee: \( f(x)=\frac{2}{x+4}-1 \) 7.1 Skryf neer die vergelyking van die asimptote van \( f \). 7.2 Bereken die afsnitte van die grafiek \( f \) met die asse. 7.3 Skets die grafiek van \( f \) en toon die asimptote asook die afsnitte met die asse duidelik aan. 7.4 Skryf die koördinate van die beeld van die \( x \)-afsnit neer indien dit om die simmetrie-as \( y=-x-5 \) gereflekteer word. 7.5 Skryf die waardeversameling van \( y=-f(x) \) neer. 7.6 Beskryf in woorde, die transformasie van \( f \) na \( g \) indien \( g(x)=\frac{-2}{x-4}-1 \). 2. Grafica la función: \( f(x)=\frac{-2 x+3}{3 x-6} \) Graph all asymptotes of the rational function. \[ f(x)=\frac{-x^{2}-3 x+3}{x+1} \] Arătați că: a) \( \log _{2} 5+\log _{5} 2>\log _{2} 5 \cdot \log _{5} 4 ; \) b) \( \left(\log _{6} 12-\log _{12} 24\right)^{-1} \in(8,10) \) Graph the following function \( f(x) \). Label the vertical asymptote. State the domain and ra function. \( f(x)=\log _{\frac{1}{8}} x \) Graph the given function \( f(x) \). Label the vertical asymptote. Choose the correct graph. The domain of this logarithmic function is (Type your answer in interval notation.) The range of this logarithmic function is (Type your answer in interval notation.) 1. Calcula las asintotas vertical y horizontal de la siguiente función: \( f(x)=\frac{3 x-4}{x-5} \) Change from degrees to radians: \[ \begin{array}{c}108^{\circ} \\ \underline{[?] \pi}\end{array} \] Consider the equation below. \( r=\frac{13}{4+2 \cos (\theta)} \) (a) Find the eccentricity. \( e=\square \) (a) Determine the equation of the line passing through the turning poin of \( y=-x^{2}+2 x+3 \) and the intersection point of the asymptotes \( y=-\frac{1}{x+2}-1 \) QUESTION ONE Find the value of \( T \) in the formula \( T=\pi \sqrt{\frac{h \sin x}{g}} \) when \( h-2,5, g=9,81, x=75^{\circ} \), (a) giving your answer correct to four decimal places.
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