Unit 5: Comparing Functions Practice

Front

What is the slope of a linear function?

Back

The slope of a linear function represents the rate of change of the function. It indicates how much the y-value changes for a unit change in the x-value.

Front

How do you determine the y-intercept of a linear function?

Back

The y-intercept of a linear function is the point where the graph intersects the y-axis. It can be found by setting x=0 in the function's equation.

Front

What does it mean if a function has a positive slope?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward trend in the graph.

Front

What does it mean if a function has a negative slope?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward trend in the graph.

Front

What is the rate of change in a function?

Back

The rate of change in a function refers to how much the output (y-value) changes for a given change in the input (x-value). It is represented by the slope.

Front

How can you compare the slopes of two functions?

Back

To compare the slopes of two functions, examine their coefficients of x in the slope-intercept form (y = mx + b). The larger the coefficient, the steeper the slope.

Front

What is the significance of the y-intercept in a linear function?

Back

The y-intercept indicates the starting value of the function when x is zero. It provides a point of reference for the graph.

Front

How do you identify a function with a greater rate of change?

Back

A function with a greater rate of change will have a larger absolute value of its slope compared to another function.

Front

What is the general form of a linear function?

Back

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

Front

How can you determine if two functions are parallel?

Back

Two functions are parallel if they have the same slope (m) but different y-intercepts (b).