List the X- and Y-Intercepts, and Graph the Function $$f ( x ) = \frac { 1 } { x - 5 }$$

question 64

Multiple Choice

List the x- and y-intercepts, and graph the function.
- $$f ( x ) = \frac { 1 } { x - 5 }$$

• A) No \(x\)-intercepts, \(y\)-intercept: \(\left( 0 , \frac { 1 } { 5 } \right)\);
• B) No \(x\)-intercepts, \(y\)-intercept: \(\left( 0 , \frac { 1 } { 5 } \right)\);
• C) No x-intercepts, \(y\)-intercept: \(\left( 0 , - \frac { 1 } { 5 } \right)\);
• D) No x-intercepts, y-intercept: \(\left( 0 , \frac { 1 } { 6 } \right)\);

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Definitions:

Greatest Common Monomial Factor

The highest monomial that divides two or more monomials without a remainder, used to simplify expressions by factoring it out.

Polynomial

A mathematical expression of finite length that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

Negative Real Number

A real number that is less than zero, located to the left of zero on the number line.

Standard Form

Refers to a way of writing numbers to ensure consistency, often as a particular way of writing algebraic equations or complex numbers.