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29.


f(x) = -x^2-7x-6

As
x \to \pm \infty,
y \to - \infty.

This can be easily verified by looking at the graph (graph of a quadratic equation).

30.

The growth of a population is not linear, it's exponential.

31.

Exponential growth > polynomial, so
y = 3^x.

35.


V(t) = 30\cdot (25)^{(t)/(20)}

The question is asking V(t) for t = 40.


V(40) = 30\cdot (25)^{(40)/(20)} \\~\\V(40) = 30\cdot 25^2 \\~\\V(40) = 30\cdot 625 \\~\\V(40) = 18750

36.

The point of symmetry of a quadratic equation
y = ax^2+bx+c is at its vertice:


V_x = (-b)/(2a)


V_x = (6)/(2)


V_x = 3

The line is x= 3.

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