Analyze the polynomial function \( f(x)=(x+8)(x-1)^{2} \) using parts (a) through (e). (a) Determine the end behavior of the graph of the function. The graph of \( f \) behaves like \( y=\square \) for large values of \( |x| \).

solve each of the following equation:- \( \left(\frac{1}{7}\right)^{x}=49 \)

Escriban V (verdadero) of (falso) según corresponda a. \( 0,9 \mathrm{hm}>8000 \mathrm{~cm} \) b. \( 5900 \mathrm{~mm}<0,53 \mathrm{dam} \) c. \( 36 \mathrm{~m}=3600 \mathrm{~cm} \) d. \( 0,072 \mathrm{~m} \leq 72000 \mathrm{~mm} \) e. \( 7,49 \mathrm{~m}<0,749 \mathrm{~km} \)

The domain of the function \( f(x, y)=\sqrt{x}+\sqrt{y} \) is A. The union of two intervals B. The area inside a parabola C. All of the xy-plane D. The first and third quadrants E. The first quadrant

\( f(x)=-\frac{3}{2} x^{3}+\frac{2}{5} x^{2}-4 \) a. \( f^{\prime}(x)=-\frac{5}{x^{2}}+\frac{6}{x^{3}} \) b. \( f^{\prime}(x)=\frac{3}{2} \cdot \sqrt{x}-\frac{5}{3} \sqrt[3]{x^{2}} \) c. \( f^{\prime}(x)=\frac{6}{x^{4}}-\frac{6}{x^{3}}-4 \) d. \( f^{\prime}(x)=-\frac{4}{2} x^{2}+\frac{4}{5} x \)

The domain of the function \( f(x, y)=\frac{3 x+5 y}{x^{2}+y^{2}-4} \) is A. The first quadrant B. All the xy-plane except a circle C. The area inside a circle (not including the circle) D. The area inside a circle (including the circle) E. The union of two intervals Submit answer Next item