Find All Points of Discontinuity, and Determine Whether There Is $f ( x ) = \frac { x ^ { 2 } + 16 x + 63 } { x ^ { 2 } + 15 x + 56 }$

question 51

Multiple Choice

Find all points of discontinuity, and determine whether there is a hole or a vertical asymptote at each point.
- $f ( x ) = \frac { x ^ { 2 } + 16 x + 63 } { x ^ { 2 } + 15 x + 56 }$

• A)-7: hole; -8: vertical asymptote
• B)-7: hole; -9: vertical asymptote
• C)-8: vertical asymptote
• D)7: hole; 8: vertical asymptote

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Definitions:

Receptor Molecule

A protein on the surface or inside a cell that binds to specific molecules like hormones or neurotransmitters, triggering a response inside the cell.

Transduction Pathway

A series of molecular actions within a cell that converts a signal from outside the cell to a functional change within the cell.

Growth Factor

A naturally occurring substance capable of stimulating cellular growth, proliferation, healing, and cellular differentiation.

Phospholipid Bilayer

A fundamental structure of cell membranes consisting of two layers of phospholipids, with hydrophilic heads facing outward and hydrophobic tails facing inward.