Assume That F Is an Even Function, G Is an Odd

question 54

Multiple Choice

Assume that f is an even function, g is an odd function, and both f and g are defined on the entire real line. State whether
the combination of functions (where defined) is even or odd.
-gf

• A) Even
• B) Odd

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Definitions:

Infinite

Without limit or end; extending beyond any finite value or measurable space.

Horizontal Line

A straight line that has a zero slope and runs parallel to the horizontal axis in a graph.

Vertical Line

A straight line that goes up and down on a graph, representing a scenario where one variable changes while the other remains constant.

Downward Sloping

Describes a line on a graph that shows a decrease in one variable as another variable increases, often used to illustrate laws of demand in economics.