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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.
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