x and y intercepts

Front

What is the definition of the x-intercept of a function?

Back

The x-intercept of a function is the point where the graph of the function crosses the x-axis, which occurs when the value of y is equal to zero.

Front

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

Back

True

Front

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

Back

To find the x-intercept of a linear equation in standard form (Ax + By = C), set y to 0 and solve for x.

Front

What is the x-intercept of the equation -8x - 4y = 8?

Back

The x-intercept is (-1, 0).

Front

What is the x-intercept of the equation 3x + 8y = 24?

Back

The x-intercept is (8, 0).

Front

What does the point (a, 0) represent in the context of x-intercepts?

Back

The point (a, 0) represents the x-intercept of a function, where 'a' is the x-coordinate and the y-coordinate is zero.

Front

What is the relationship between x-intercepts and the graph of a function?

Back

X-intercepts indicate the values of x for which the function's output (y) is zero, showing where the graph intersects the x-axis.

Front

How can you determine the x-intercept from a graph?

Back

To determine the x-intercept from a graph, locate the point where the graph crosses the x-axis.

Front

What is the significance of the x-intercept in real-world applications?

Back

The x-intercept can represent a point of no profit, break-even point, or other critical values in various real-world scenarios.

Front

If a linear equation has an x-intercept of 3, what does this mean?

Back

It means that when y = 0, x = 3, indicating that the graph of the equation crosses the x-axis at the point (3, 0).