MathNation Unit 3 Vocabulary Quizs

What is the standard form of a linear equation?

• Ax + By = C;

• y = mx + b;

• C = mx + b;

• Ax - By = C;

line

• a straight path that extends infinitely in both directions

• a curved path that bends at various angles

• a segment of a circle

• a point in space that has no dimensions

domain

• the complete set of possible values for the input of a function or relation; x-values of a function; may vary depending on the context

• the range of output values for a function

• the graphical representation of a function

• the set of all possible outputs of a function

range

• the complete set of possible values for the output of a relation or function; the y-values of a function

• the set of all possible input values for a function; the x-values

• the difference between the highest and lowest values in a data set

• a measure of how spread out the values in a data set are

horizontal line

• graphed from left to right; has a slope of 0; can be written as y=(any number)

• graphed vertically; has an undefined slope; can be written as x=(any number)

• graphed diagonally; has a positive slope; can be written as y=mx+b

• graphed from bottom to top; has a negative slope; can be written as y=-mx+b

vertical line

• graphed up and down; has an undefined slope; written as x = (some number) because it is not a function

• graphed horizontally; has a defined slope; written as y = (some number) because it is a function

• graphed diagonally; has a positive slope; written as y = mx + b

• graphed vertically; has a defined slope; written as y = (some number) because it is a function

end behavior

• describes how the function's graph behaves as the input (x) approaches positive infinity or negative infinity; it looks at the left and right extremes of the graph

• refers to the maximum and minimum points of a function's graph

• indicates the symmetry of the graph around the y-axis

• describes the periodic nature of the function's graph

point-slope form of a linear equation

• y - y₁ = m(x - x₁)

• y = mx + b

• y = b

• x = my + b

domain and range of a linear relationship

• will always mathematically be all real numbers

• only includes positive integers

• is limited to a specific interval

• can only be negative values

intercept

• the value of a variable when all other variables in the equation equal 0; the value where a graph of a function crosses an axis

• the point where two lines meet on a graph

• the slope of a line in a linear equation

• the maximum value of a function