State the Period of the Function $y = \frac { 1 } { 2 } \sec \frac { \pi x } { 5 }$

question 204

Multiple Choice

State the period of the function: $y = \frac { 1 } { 2 } \sec \frac { \pi x } { 5 }$

• A) 14
• B)10
• C) \(\frac { \pi } { 5 }\)
• D) \(10 \pi\)
• E)12

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Definitions:

Logarithm

The power to which a base, often 10 or e, needs to be elevated in order to generate a specific number.

Properties of Logarithms

Rules that simplify the manipulation and solving of logarithmic equations, such as product, quotient, and power rules.

Vertical Asymptote

A line that a graph approaches but never touches or crosses, representing where the function moves towards infinity or negative infinity.

Logarithm

The power to which a base, such as 10 or e, must be raised to produce a given number; it's the inverse operation to exponentiation.