Comparing Functions Practice

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis. It is represented as (0, b) where b is the value of y when x = 0.

Front

Find the slope of the line.

Back

The slope of a line measures its steepness and direction. It is calculated as the change in y divided by the change in x, often represented as m.

Front

What is the initial value of a graph?

Back

The initial value is the y-coordinate of the point where the graph intersects the y-axis, indicating the starting value of the function when x = 0.

Front

What advice works in life AND when studying functions?

Back

If you want your relationships to be functional, don't repeat your (e)x's.

Front

What equation is THE SAME as Total Cost = Variable Cost + Fixed Cost?

Back

The equation y = mx + b represents a linear relationship where y is the total cost, m is the variable cost per unit, x is the number of units, and b is the fixed cost.

Front

What does the slope of -5/4 indicate about a line?

Back

A slope of -5/4 indicates that for every 4 units you move to the right on the x-axis, the line moves down 5 units on the y-axis, showing a negative relationship.

Front

How do you determine if a relation is a function?

Back

A relation is a function if each input (x-value) has exactly one output (y-value). This can be tested using the Vertical Line Test.

Front

What is the formula for slope?

Back

The formula for slope (m) is given by m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does the term 'variable cost' mean?

Back

Variable cost refers to expenses that change in proportion to the level of goods or services produced, such as materials and labor.

Front

What is a fixed cost?

Back

Fixed cost is an expense that does not change regardless of the level of goods or services produced, such as rent or salaries.