Compare Functions

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 the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x.

Front

What does the y-intercept represent in a function?

Back

The y-intercept is the point where the line crosses the y-axis, representing the output value when the input (x) is zero.

Front

How do you compare the slopes of two functions?

Back

To compare the slopes of two functions, look at the coefficients of x in their equations. The function with the larger coefficient has a steeper slope.

Front

What is the equation of a linear function?

Back

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

Front

How can you determine which function has a higher y-intercept?

Back

You can determine which function has a higher y-intercept by comparing the constant term (b) in their equations.

Front

What does it mean for two functions to have the same slope?

Back

If two functions have the same slope, they rise or fall at the same rate, meaning they are parallel to each other.

Front

How do you find the cost of services represented by a function?

Back

To find the cost of services represented by a function, substitute the number of units (e.g., movies) into the function's equation.

Front

What is the significance of comparing two functions in real-life scenarios?

Back

Comparing two functions helps in making informed decisions, such as choosing the cheaper service or understanding which option is more efficient.

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph.