Functions, Tables, and Graphs part 2

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is an independent variable?

Back

An independent variable is a variable that represents the input or cause in a function, often denoted as 'x'.

Front

What is a dependent variable?

Back

A dependent variable is a variable that represents the output or effect in a function, often denoted as 'y'.

Front

What does the slope of a line represent in a graph?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.

Front

How do you determine if a point lies on a line represented by an equation?

Back

Substitute the x-value of the point into the equation and see if the resulting y-value matches the y-value of the point.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a table of values in relation to functions?

Back

A table of values lists pairs of input (x) and output (y) values that correspond to a function.

Front

What does it mean for a function to be linear?

Back

A function is linear if its graph forms a straight line, which means it can be expressed in the form y = mx + b.

Front

How can you identify a linear function from a set of ordered pairs?

Back

A linear function will have a constant rate of change between the y-values as the x-values increase.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.