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Home Question Bank Math Pre Calculus Archive 2024 November 05

Pre-calculus Questions from Nov 05,2024

Browse the Pre-calculus Q&A Archive for Nov 05,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Graph the function \( f(x)=2^{x-2}+4 \). Give the domain and range. Use the graphing tool to graph the function. The domain of the function \( f(x)=2^{x-2}+4 \) is \( (-\infty, \infty) \). (Type your answer in interval notation.) The range of the function \( f(x)=2^{x-2}+4 \) is (Type your answer in interval notation.) Graph the function \( f(x)=6^{x}+2 \). Give the domain and range. Use the graphing tool to graph the function. The domain of the function \( f(x)=6^{x}+2 \) is \( (-\infty, \infty) \). (Type your answer in interval notation.) The range of the function \( f(x)=6^{x}+2 \) is (Type your answer in interval notation.) Graph the function \( f(x)=6^{x}-3 \). Give the domain and range. Which transformation is needed to graph the function \( f(x)=6^{x}-3 \) ? Choc A. The graph of \( f(x)=6^{x} \) should be shifted up 3 units. B. The graph of \( f(x)=6^{x} \) should be shifted to the left 3 units. D. The graph of of \( f(x)=6^{x} \) should be shifted down 3 units. Use the graphing tool to graph the function. The domain of the function \( f(x)=6^{x}-3 \) is (Type your answer in interval notation.) Graph the function \( f(x)=6^{x}-3 \). Give the domain and range. Which transformation is needed to graph the function \( f(x)=6^{x}-3 \) ? Choose the correct ar B. The graph of \( f(x)=6^{x} \) should be shifted up 3 units. C. The graph of \( f(x)=6^{x} \) should be shifted down 3 units. D. The graph of \( f(x)=6^{x} \) should be shifted to the right 3 units. ulide Graph the function \( f(x)=6^{x}-3 \). Give the domain and range. Which transformation is needed to graph the function \( f(x)=6^{x}-3 \) ? Choose the correct answe A. The graph of \( f(x)=6^{x} \) should be shifted up 3 units. B. The graph of \( f(x)=6^{x} \) should be shifted to the left 3 units. C. The graph of \( f(x)=6^{x} \) should be shifted down 3 units. D. The graph of \( f(x)=6^{x} \) should be shifted to the right 3 units. Write the measure in degrees. \[ \frac{7 \pi}{4} \] \( [?]^{\circ} \) Write the measure in degrees. \( \begin{array}{c}\frac{11 \pi}{6} \\ {[?]^{\circ}}\end{array} \) Change from degrees to radians: \[ \begin{array}{c}20^{\circ} \\ \underline{[?] \pi}\end{array} \] The graph of \( y=-\sqrt[3]{x} \) is shifted 7 units up and 4 units right. Which equation represents the new graph? \( \begin{array}{l}y=-\sqrt[3]{x+4}+7 \\ y=-\sqrt[3]{x-7}+4 \\ y=-\sqrt[3]{x-4}+7 \\ y=-\sqrt[3]{x+7}+4\end{array} \) or the following function defined that is one-to-one, write an equation for the inverse function in the form \( y=f^{-1}(x) \), a nction is not one-to-one, say so. \( f(x)=\sqrt{-5+x}, x \geq 5 \) A. \( f^{-1}(x)=\square, x \geq 0 \) B. \( f^{-1}(x)=\square, x \leq 0 \) C. The function is not one-to-one.
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