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Home Question Bank Math Pre Calculus Archive 2025 January 16

Pre-calculus Questions from Jan 16,2025

Browse the Pre-calculus Q&A Archive for Jan 16,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Which function has a graph with domain \( x \geq-1 \) and range \( y \geq-2 \) ? Choose the correct answer below. A. \( f(x)=\sqrt{x-1}+2 \) B. \( f(x)=\sqrt[3]{x+1}-2 \) C. \( f(x)=\sqrt{x+1}-2 \) D. \( f(x)=\sqrt[3]{x-1}+2 \) Analyze the polynomial function \( f(x)=(x+5)^{2}(4-x) \) using parts \( (a) \) through ( \( n \) ) Delow. (a) Determine the end behavior of the graph of the function. The graph of \( f \) behaves like \( y=\square \) for large values of \( |x| \). Analyze the polynomial function \( f(x)=(x+5)^{2}(4-x) \) using parts (a) through (h) below. (a) Determine the end behavior of the graph of the function. The graph of \( f \) behaves like \( y=\square \) for large values of \( |x| \). Consider the function \( f(x) = \sqrt{x} \). Describe how you would graph its inverse, and explain any transformations that occur. sson 4 Practice Problems A. A bacteria population is tripling every hour. By what factor does the population change in \( \frac{1}{2} \) hour? Select all that apply. a. \( \sqrt{3} \) b. \( \frac{3}{2} \) c. \( \sqrt[3]{2} \) d. \( 3^{\frac{1}{2}} \) e. \( 3^{2} \) 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). Consider the function \( f(x) = \sqrt{x} \). Describe how you would graph its inverse, and explain any transformations that occur. Gegeven \( f(x)=-x+\sqrt{2 x+8} \) Befsal uen \( f \) het domein en het racekpant If the function \( h(x) = \sqrt{x^2 - 9} \), what are the restrictions on its domain? If the function \( g(x) = x^{2} + 5 \) has an inverse, determine the domain of the inverse function.
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