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Home Question Bank Math Pre Calculus Archive 2024 November 29

Pre-calculus Questions from Nov 29,2024

Browse the Pre-calculus Q&A Archive for Nov 29,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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What is the range of the exponential function \( y=-5.3^{x+2}-2 \) ? a) \( \{y / y>2\} \) b) \( \{y / y<-2\} \) c) \( \{y / y<2\} \) d) \( \{y / y<-5\} \) What is the range of the exponential function \( y=-5.3^{x+2}-2 \) ? a) \( \{y / y>2\} \) b) \( \{y / y<-2\} \) c) \( \{y / y<2\} \) d) \( \{y / y<-5\} \) possible In 2012 , the population of a city was 6.04 million. The exponential growth rate was \( 3.29 \% \) per year. a) Find the exponential growth function. b) Estimate the population of the city in 2018 . c) When will the population of the city be 10 million? d) Find the doubling time. a) The exponential growth function is \( \mathrm{P}(\mathrm{t})=\square \), where t is in terms of the number of years since 2012 and \( \mathrm{P}(\mathrm{t}) \) is the population in millions. (Type exponential notation with positive exponents. Do not simplify. Use integers or decimals for any numbers in the equation.) b) The population of the city in 2018 is \( \square \) million. (Round to one decimal place as needed.) c) The population of the city will be 10 million in about \( \square \) years after 2012 . (Round to one decimal place as needed.) d) The doubling time is about \( \square \) years. (Simplify your answer. Round to one decimal place as needed.) (7) Eldominio de \( f(x)=\ln \left(x^{2}-16\right) \) es The range of the function \( f: f(x)=\frac{2 x^{2}-2 x}{x-1} \) equals ... 4. Sketch the graph of \( f(x)=3 x-x^{2} \) and find a. the domain and range b. \( f(q) \) c. \( f\left(x^{2}\right) \) d. \( \frac{f(2+h)-f(2)}{h}, h \neq 0 \). \( f(x)=x^{2}-1 \) intervalo \( [1,4] \) Sketch the graph of the exponential function \( g(x) = 3^{x-1} + 2 \), indicating its asymptote. \( 3^{\circ} \) ) Dadas las siguientes funciones, hallar el Dominio de la función compuesta ( f o g ): \( f(x)=\frac{1}{\sqrt{x}} ; \quad g_{(x)}=x^{2}-x-2 \) of the following: (1) \( z=\frac{1}{1+i \tan \theta} \)
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