F2 (Comparing Properties of Two Functions)

Front

What is the initial value of a linear function?

Back

The initial value of a linear function is the y-coordinate of the point where the graph intersects the y-axis (x=0).

Front

How do you determine the rate of change of a linear function?

Back

The rate of change of a linear function is determined by the slope, which is calculated as the change in y divided by the change in x (rise/run).

Front

What does it mean for two functions to have the same rate of change?

Back

Two functions have the same rate of change if their slopes are equal, indicating they increase or decrease at the same rate.

Front

How can you compare the initial values of two linear functions?

Back

You can compare the initial values by evaluating each function at x=0 and comparing the resulting y-values.

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, typically in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

How do you find the slope from two points on a line?

Back

The slope (m) can be found using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

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

Back

The y-intercept indicates the value of the function when x is 0, representing the starting point of the function on the y-axis.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts, meaning they will never intersect.

Front

What is the relationship between the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are negative reciprocals of each other, meaning if one slope is m, the other is -1/m.