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Quiz 4.1, 4.2, 4.4 Review 1. Find G(0) if G is a linear function such that G(1)= -2 and G(-2)= -11. 2. A factory owner buys a new machine for $1000. After five years, the machine has a salvage value of $100. Assuming linear depreciation, find a formula for the value V of the machine after t years, where 0 t 5 . Graph the quadratic functions. In each case, specify the vertex and the x-and y-intercepts. 3. y x 2 2 3x 3 4. f ( x) 2 x 2 2 x 1 Find quadratic functions satisfying the given conditions. 5. The graph passes through the origin, and the vertex is point (2,2) 6. The vertex is (3,-1), and one x-intercept is 1. 7. A rectangle is inscribed in a circle. The circumference of the circle is 12 cm. Express the perimeter of the rectangle as a function of its width w. 8. The volume of a right circular cylinder is 20in 3 . Express the total surface area of the cylinder as a function of r, the radius of the base.