You Are Given a Graph of a Function of the Form

question 44

Multiple Choice

You are given a graph of a function of the form $f ( x ) = a x ^ { 2 } + b x + c$ for different values of $a , b$ , and $c$ . For this function,
a. Determine whether the discriminant is positive, negative, or zero.
b. Determine if there are 0,1 , or 2 real solutions to $f ( x ) = 0$ .
c. Solve the equation $f ( x ) = 0$ .
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• A) a. negative b. 2 c. \(x = \langle a \rangle , x = 2\)
• B) a. positive b. 2 c. \(x = - 1 , x = - 2\)
• C) a.zero b. 2 c. \(x = - 1 , x = 2\)
• D) a. positive b. 2 C. \(x = - 1 , x = 2\)

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Definitions:

Island Arcs

Curved chains of volcanic islands located along a convergent tectonic plate boundary, formed by the subduction of an oceanic plate beneath another plate.

Basalt Eruptions

Volcanic eruptions that produce basalt, a dark-colored volcanic rock rich in iron and magnesium, characterized by low viscosity lava flows.

Ophiolite

A section of the Earth's oceanic crust and the underlying upper mantle that has been uplifted and exposed above sea level.

Oceanic Crust

The part of the Earth's crust that underlies the ocean basins, composed mostly of basalt and thinner than continental crust.