Find the Average Rate of Change of the Function from X₁

question 3

Multiple Choice

Find the average rate of change of the function from x₁ = 1 to x₂ = 5.? $$f ( x ) = x ^ { 2 } + 18 x - 4$$ ?

• A)The average rate of change from x₁ = 1 to x₂ = 5 is 24.
• B)The average rate of change from x₁ = 1 to x₂ = 5 is -4.
• C)The average rate of change from x₁ = 1 to x₂ = 5 is -24.
• D)The average rate of change from x₁ = 1 to x₂ = 5 is -18.
• E)The average rate of change from x₁ = 1 to x₂ = 5 is 4.

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Definitions:

Asthenosphere

A region of the Earth's mantle beneath the lithosphere that is mechanically weak and partially molten, facilitating tectonic plate movement.

Ionosphere

A layer of the Earth's atmosphere that is ionized by solar and cosmic radiation, playing an essential role in atmospheric electricity and forming the inner edge of the magnetosphere.

Biosphere

The global ecological system integrating all living beings and their relationships, including their interaction with the elements of the lithosphere, hydrosphere, and atmosphere.

Plate Tectonics

The scientific theory explaining the movement of Earth's lithosphere, which is divided into tectonic plates that move over the asthenosphere due to geologic processes.