Algebra Vocab

Front 1

is where the picture exists from left to right; domain is a description of ALL
the x-coordinates used on the picture. Think of the entire picture as casting a shadow on
the x-axis, and describe all the x values that are covered. Using interval notation,
describe by the x-coordinates, left to right.

Back 1

Domain

Front 2

is where the picture exists from bottom to top; range is a description of ALL
the y-coordinates used on the picture. Think of the entire picture as casting a shadow on
the y-axis, and describe all the y values that are covered. Using interval notation,
describe by the y-coordinates, bottom to top. RANGE is the ONLY description we use
the y-coordinates to describe because range is a description of all the y values you see.

Back 2

Range

Front 3

is where the picture is going UP from left to right. As you read from left
to right (for bigger and bigger x’s), the y-values are also getting bigger. The slope
connecting any two points on an increasing portion of the graph is positive. Using
interval notation, describe by the x-coordinates, left to right

Back 3

Increasing

Front 4

is where the picture is going DOWN from left to right. As you read from
left to right (for bigger and bigger x’s), the y-values are getting smaller. The slope
connecting any two points on a decreasing portion of the graph is negative. Using interval
notation, describe by the x-coordinates, left to right.

Back 4

Decreasing

Front 5

is where the picture is FLAT or HORIZONTAL from left to right. As you
read from left to right (for bigger and bigger x’s), the y-values stay the same (are
constant). The slope connecting any two points on a constant portion of the graph is 0.
Using interval notation, describe by the x-coordinates, left to right.

Back 5

Constant

Front 6

is where the picture is strictly above the x-axis, where all the y-values are
positive. Any x-intercept number is a boundary number and should NOT be included.
Using interval notation, describe by the x-coordinates, left to right.

Back 6

Positive

Front 7

is where the picture is strictly below the x-axis, where all the y-values are
negative. Any x-intercept number is a boundary number and should NOT be included.
Using interval notation, describe by the x-coordinates, left to right.

Back 7

Negative

Front 8

is where the picture is bending up from left to right (looks “like a cup”).
The slopes connecting consecutive points on a concave up portion of the graph will be
getting bigger. Using interval notation, describe by the x-coordinates, left to right.

Back 8

Concave Up

Front 9

is where the picture is bending down from left to right (looks “like a
frown”). The slopes connecting consecutive points on a concave down portion of the
graph will be getting smaller. Using interval notation, describe by the x-coordinates, left
to right.

Back 9

Concave Down:

Front 10

are where the graph crosses the x-axis. All XI have a y-coordinate of 0.

Back 10

x-intercepts

Front 11

are where the graph crosses the y-axis. All YI have a x-coordinate of 0.

Back 11

y-intercepts

Front 12

the absolute lowest point on the graph

Back 12

Minimum

Front 13

the absolute highest point on the graph.

Back 13

Maximum

Front 14

the y-coordinate for the point in question

Back 14

minimum / maximum VALUE:

Front 15

the xcoordinate
of the point in question

Back 15

for what x does the function reach its minimum / maximum value