4.5 Review: Comparing Functions (Graph, Table, Equation)

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as a graph, table, or equation.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of the function. It indicates how much the output (y) changes for a unit change in the input (x).

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0. It is the point where the line crosses the y-axis.

Front

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

Back

Front

How can you determine which function has a greater rate of change?

Back

Compare the slopes of the functions. The function with the larger slope has a greater rate of change.

Front

What does a positive slope indicate about a function?

Back

A positive slope indicates that as the input (x) increases, the output (y) also increases.

Front

What does a negative slope indicate about a function?

Back

A negative slope indicates that as the input (x) increases, the output (y) decreases.

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 for a function, showing how the function behaves.

Front

How can you represent a function graphically?

Back

A function can be represented graphically by plotting points on a coordinate plane and connecting them to form a line or curve.