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Home Question Bank Math Pre Calculus Archive 2025 January 17

Pre-calculus Questions from Jan 17,2025

Browse the Pre-calculus Q&A Archive for Jan 17,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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EGG IDEAS MATH Save I Exit Listen Determine whether the function represents exponential growth or exponential decay. Identify the percent rate of change. \[ s(t)=0.65(0.48)^{t} \] MODELING REAL LIFE The population of Brookfield increases by \( 2 \% \) annually. MO sign shown is from the year 2010 . \( \begin{array}{c}\text { cITY LIMT } \\ \text { BROOKFIELD } \\ \text { pop 315,000 }\end{array} \) a. Write an exponential growth function that represents the population \( t \) years after 2010 . \( y=\square \) b. What will the population be in 2030 ? Round your answer to the nearest thousand. In 2030 , the population will be about \( \square \). 3.- Traza la gráfica de las siguientes funciones y determina los Intervalos donde son creciente o decreciente e identifica si es continua o discontinua. - \( f(x)=-x^{2}+8 \) - \( f(x)=|x| \) - \( f(x)=x+8 \) 6. Dadas las funciones \( f(x)=|2 x+3| \) y \( g(x)=4-\left|2-\frac{2}{3} x\right| \) (a) Representarlas gráficamente e indicar su dominio e imagen y las intersecciones con los ejes coor- denados. (b) Observar que en cada uno de los casos el gráfico de la función se compone de dos ramas lineales. Escribir el nombre de cada una de esas ramas e indicar el subconjunto del dominio en el que tiene validez cada una. QUESTION 4 Sketch on the same set of axes the graphs of \( f(x)=-2 x^{2}-4 x+6 \) and \( g(x)=-2 \cdot 2^{x-1}+1 \). Clearly indicate all intercepts with the axes, turning point(s) and asymptote(s). 23 Convert \( 313^{\circ} \) into approximate radians 12 What is the equation of the OA of \( f(x)=\frac{(x+5)^{2}}{x-3} \) The function \( g(x)=2.5 \sqrt[3]{x-3}+5 \) is a transformation of the cube root parent function. How can these transformations be described? Select each correct answer. Select 3 correct answer(s) The function is translated 3 units right. The function is translated 3 units left. The function is translated 5 units up. The function is translated 5 units down. The function undergoes a vertical stretch. The function undergoes a vertical compression. Which transformations have been performed on the graph of \( f(x)=\sqrt{x} \) to obtain the graph of \( g(x)=-0.3 \sqrt{x}-4 \) ? Select each correct answer. Select 3 correct answer(s) reflect the graph over the x-axis stretch the graph away from the x-axis compress the graph closer to the x-axis translate the graph to the right translate the graph to the left translate the graph down Which transformations have been performed on the graph of \( f(x)=\sqrt[3]{x} \) to obtain the graph of \( g(x)=-2 \sqrt[3]{x}-1 \) ? Select each correct answer. Select 3 correct answer(s) reflect the graph over the x-axis stretch the graph away from the \( x \)-axis compress the graph closer to the x-axis translate the graph to the right translate the graph to the left translate the graph down translate the graph up
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