Finding x and y-intercepts

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the graph of a function crosses the y-axis, represented as (0, y).

Front

What is the x-intercept of a function?

Back

The x-intercept is the point where the graph of a function crosses the x-axis, represented as (x, 0).

Front

How do you find the x-intercept of a linear equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What does the point (0, -1) represent?

Back

It represents the y-intercept of a function where the graph crosses the y-axis at -1.

Front

True or False: The x-intercept of a function ALWAYS occurs where y is equal to zero.

Back

True.

Front

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

Back

The x-intercept indicates the value of x when the output (y) is zero.

Front

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

Back

The y-intercept indicates the value of y when the input (x) is zero.

Front

If a function has no x-intercept, what does that imply?

Back

It implies that the function does not cross the x-axis, meaning it does not have any real solutions for y = 0.

Front

If a function has no y-intercept, what does that imply?

Back

It implies that the function does not cross the y-axis, which can occur in vertical lines or certain types of functions.