3-4 Intercepts of Graphs

Front

What is an x-intercept?

Back

An x-intercept is a point on the graph where the function crosses the x-axis, meaning the value of y is zero.

Front

What is a y-intercept?

Back

A y-intercept is a point on the graph where the function crosses the y-axis, meaning the value of x is zero.

Front

How do you find the x-intercept of a function?

Back

To find the x-intercept, set the function equal to zero and solve for x.

Front

How do you find the y-intercept of a function?

Back

To find the y-intercept, evaluate the function at x = 0.

Front

What does it mean if a function is positive at a certain point?

Back

If a function is positive at a certain point, it means that the value of the function is greater than zero at that point.

Front

What does it mean if a function is negative at a certain point?

Back

If a function is negative at a certain point, it means that the value of the function is less than zero at that point.

Front

What does it mean if a function is neither positive nor negative at a certain point?

Back

If a function is neither positive nor negative at a certain point, it means that the value of the function is exactly zero at that point.

Front

What is the significance of a dashed line on a graph?

Back

A dashed line on a graph often indicates a boundary or a limit, where the function may change behavior.

Front

What does the interval x > 6 represent in terms of function behavior?

Back

The interval x > 6 represents the portion of the graph where the function is negative.

Front

What does the interval x < 3 represent in terms of function behavior?

Back

The interval x < 3 may represent the portion of the graph where the function is positive or negative, depending on the specific function.