Comparing Functions Review

Front

What is the initial value in a linear function?

Back

The initial value is the y-intercept of the function, which is the value of y when x = 0.

Front

What does the rate of change represent in a function?

Back

The rate of change represents the slope of the function, indicating how much y changes for a unit change in x.

Front

How do you find the slope from a graph?

Back

The slope can be found by selecting two points on the line, calculating the rise (change in y) over the run (change in x).

Front

What is the slope in the equation y = mx + b?

Back

In the equation y = mx + b, m represents the slope of the line.

Front

What is the y-intercept in the equation y = mx + b?

Back

In the equation y = mx + b, b represents the y-intercept, which is the point where the line crosses the y-axis.

Front

If a function has a slope of 2, what does this mean?

Back

A slope of 2 means that for every 1 unit increase in x, y increases by 2 units.

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1).

Front

What is the rate of change for the function represented by the points (1, 3) and (4, 9)?

Back

The rate of change (slope) is (9 - 3) / (4 - 1) = 6 / 3 = 2.

Front

How do you identify the y-intercept from a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, where x = 0.

Front

What does a negative slope indicate about a function?

Back

A negative slope indicates that as x increases, y decreases.