math pt 1

Domain

The total set of all possible x-values the graph covers.

Range

The total set of all possible y-values the graph covers.

Symmetry

A property where the graph looks identical on both sides of a line or point.

Even/Odd

Categories based on symmetry: Even (reflects over y-axis), Odd (rotates around origin).

f(x)

The height (y-value) of the graph at a specific horizontal input (x).

Solve for x

Finding the horizontal location where the graph reaches a specific height (y).

Zeros/Intercepts

Where the graph touches or crosses the x-axis (y = 0).

y-intercept

Where the graph crosses the vertical axis (x = 0).

Positive Interval

The x-range where the graph sits above the x-axis (y > 0).

Negative Interval

The x-range where the graph sits below the x-axis (y < 0).

Relative Extrema

Peaks or valleys (local high/low points) where the graph changes direction.

Absolute Extrema

The single highest or lowest point on the entire graph.

Increasing

The x-range where the graph is heading "uphill" (left to right).

Decreasing

The x-range where the graph is heading "downhill" (left to right).

Constant

The x-range where the graph is perfectly flat (slope = 0).

End Behavior

The trend of the graph as x moves toward extreme left (-∞) or right (∞).

Avg. Rate of Change

The slope between two specific points on the graph: (y₂