4.6 Interpreting Functions (Graphs)

Front

What does the slope of a linear function represent in a real-world context?

Back

The slope represents the rate of change or the cost per unit in a real-world scenario.

Front

What does the y-intercept of a linear function represent in a real-world context?

Back

The y-intercept represents the initial value or fixed cost when the independent variable is zero.

Front

In the equation y = mx + b, what does 'm' represent?

Back

The 'm' represents the slope of the line.

Front

In the equation y = mx + b, what does 'b' represent?

Back

The 'b' represents the y-intercept of the line.

Front

If a taxi company charges a transportation fee plus a cost per mile, how can you express this relationship mathematically?

Back

The relationship can be expressed as y = mx + b, where m is the cost per mile and b is the transportation fee.

Front

What is the meaning of a positive slope in a graph?

Back

A positive slope indicates that as the independent variable increases, the dependent variable also increases.

Front

What is the meaning of a negative slope in a graph?

Back

A negative slope indicates that as the independent variable increases, the dependent variable decreases.

Front

How do you determine the total cost from a graph representing a linear function?

Back

You find the value of y (total cost) for a given value of x (independent variable) on the graph.

Front

What does it mean if a graph has a y-intercept of 0?

Back

A y-intercept of 0 means that there is no initial cost; the total cost starts at zero when the independent variable is zero.

Front

How can you identify the slope from a graph?

Back

The slope can be identified by calculating the rise over run between two points on the line.