Pre-Calc Unit 1 1.1-1.4 Quiz

Domain

The set of x values

Range

The set of y values

Relations

A set of ordered pairs.

Function

special type of relation where each element of the domain is paired with exactly one element of the range.

Explicit Equations

Any equation solved for a specific variable.

Implicit Equations

An equation that has not been solved for a variable.

Critical Points

Points where the graph changes its direction or shape.

Zeros (x-intercepts)

When it crosses the x-axis; y+0 (also called roots and solutions

Extrema

points where the graph changes direction.

Relative Maximum

A point with the greatest value compared to points around it.

Absolute Maximum

The point with the greatest value over the entire domain of the function

Relative Minimum

A point with the least value compared to points around it.

Absolute Minimum

The point with the least value over the entire domain of the function.

Jump

When there are no gaps in the domain

Increasing + Decreasing

In terms of X

Continuity

A graph is said to be this if there are no breaks of holes in the graph

Infinite Discontinuity

When F(x) increases or decreased infinitely as x approaches x = a from the left or the right.

Hole

When F(x) is continuous everywhere except for this at x = a

End Behavior

highlights the most left/right parts of the graph.

Line Symmetry

The graph can be folded along a line so that the two halves match.

Point Symmetry

The graph remains unchanged when rotates 180 degrees about a point

Even Function

it is symmetric with respect to the y-axis

Odd Function

is symmetric with respect to the origin