Consider the Following Three Functions

question 1

Multiple Choice

Consider the following three functions:
F(x) = 6x²
G(x, y) =4x - 3y + 19
H(x, y) = 3xy
Which of the following is true regarding the linearity of the functions?

• A) none of the functions is linear
• B) all three functions are linear
• C) g(x, y) is linear, but f(x) and h(x, y) are not linear
• D) g(x, y) and h(x, y) are linear, but f(x) is not linear
• E) h(x, y) is linear, but f(x) and g(x, y) are not linear

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Definitions:

Semicircular Canals

Three fluid-filled tubes in the inner ear that are crucial for maintaining balance and sensing motion.

Cochleae

The spiral-shaped, auditory portion of the inner ear responsible for transforming sound into nerve impulses that are sent to the brain.

Ampullae

Bulb-shaped structures, often found in the anatomy of various animals, serving functions such as balance in fish or storage in plants.

Proprioceptors

Receptors in muscles, tendons, and joints that respond to changes in movement, tension, and position; enable an animal to perceive the position of its body.