Hon Precal Review Qz 1

Front

What is the definition of an even function?

Back

A function f(x) is even if f(-x) = f(x) for all x in the domain of f.

Front

What is the definition of an odd function?

Back

A function f(x) is odd if f(-x) = -f(x) for all x in the domain of f.

Front

What is the definition of extrema in a graph?

Back

Extrema are the points in a graph where the function reaches a local maximum or minimum.

Front

How do you determine the number of extrema in a graph?

Back

Count the number of peaks (local maxima) and valleys (local minima) in the graph.

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, for any two points x1 and x2 in that interval, if x1 < x2 then f(x1) < f(x2).

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on an interval if, for any two points x1 and x2 in that interval, if x1 < x2 then f(x1) > f(x2).

Front

What is the definition of a relative maximum?

Back

A relative maximum is a point where the function value is higher than all nearby points.

Front

What is the definition of a relative minimum?

Back

A relative minimum is a point where the function value is lower than all nearby points.

Front

What is the difference between absolute and relative extrema?

Back

Absolute extrema are the highest or lowest points over the entire domain, while relative extrema are the highest or lowest points in a specific interval.

Front

How do you find where a function is less than zero?

Back

Set the function f(x) < 0 and solve for the intervals of x.