Comparing Functions

Front

What is the initial value in the equation y = mx + b?

Back

The initial value is represented by b, which is the y-intercept of the function.

Front

What does a positive slope indicate in a graph?

Back

A positive slope indicates that as the x-value increases, the y-value also increases.

Front

What does a negative slope indicate in a graph?

Back

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

Front

What does a zero slope indicate in a graph?

Back

A zero slope indicates that the line is horizontal, meaning there is no change in the y-value as the x-value changes.

Front

In the equation y = 8x + 6, what does the number 8 represent?

Back

The number 8 represents the slope of the line.

Front

How can you determine the height of a building using a graph?

Back

You can determine the height by looking at the y-value corresponding to the x-value that represents the building's position.

Front

What does it mean if a graph is increasing?

Back

If a graph is increasing, it means that the y-values are getting larger as the x-values increase.

Front

What does it mean if a graph is decreasing?

Back

If a graph is decreasing, it means that the y-values are getting smaller as the x-values increase.

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x is zero.

Front

How can you identify a section of a graph where the object is stationary?

Back

A section of a graph is stationary when the line is horizontal, indicating no change in distance over time.