2.4 Features of Function Graphs

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the graph of a function intersects the y-axis. It is represented as (0, y). For example, if a function has a y-intercept of (0, -3), it means the graph crosses the y-axis at -3.

Front

How do you identify where a function is negative?

Back

Front

How do you identify where a function is positive?

Back

Front

What is the x-intercept of a function?

Back

The x-intercept is the point where the graph of a function intersects the x-axis. It is represented as (x, 0). For example, if a function has an x-intercept of (6, 0), it means the graph crosses the x-axis at 6.

Front

What does it mean for a function to be negative in an interval?

Back

Front

What does it mean for a function to be positive in an interval?

Back

Front

How can you find the y-intercept from a function's equation?

Back

To find the y-intercept, set x = 0 in the function's equation and solve for y. The resulting point will be the y-intercept.

Front

How can you find the x-intercept from a function's equation?

Back

To find the x-intercept, set y = 0 in the function's equation and solve for x. The resulting point will be the x-intercept.

Front

What is the significance of the x-intercept and y-intercept in a graph?

Back

The x-intercept and y-intercept provide key points that help in sketching the graph of a function. They indicate where the graph crosses the axes, which is essential for understanding the function's behavior.

Front

What is the general form of a linear function?

Back