Question

What are the x-intercepts in (x, y) format? a) (0, 0) b) (1, 0) c) (-1, 0) d) (2, 0)

Answer 1

The x-intercepts are points where the graph of a function crosses the x-axis and are always in the format (x, 0). The y-intercept, however, is the point where the line crosses the y-axis and is not related to the x-intercepts. Options such as (0, 0), (1, 0), (-1, 0), and (2, 0) provided in the question are all potential x-intercepts.

Step-by-step explanation:

The x-intercepts of a function are the points where the graph of the function crosses the x-axis. These points are of the form (x, 0), where the y-coordinate is zero because they lie on the x-axis. To determine the x-intercepts, we look for the values of x where the function's output (or y-value) is zero. This concept ties in with the slope and y-intercept of a linear equation in the form of y = mx + b, where b is the y-intercept and m is the slope. However, it's important to note that the y-intercept represents the point where the line crosses the y-axis, and not the x-intercept. Examples given in the question, such as (0, 0), (1, 0), (-1, 0), and (2, 0) all have a y-value of zero and therefore are potential x-intercepts.

Answer 2

The x-intercepts in (x, y) format would be represented as a) (0, 0).

What are the x-intercepts in (x, y) format?

X-intercepts are points where a line or curve crosses the x-axis in a two-dimensional coordinate system. In other words, they are the points where the y-coordinate is equal to zero.

A line or curve can have zero, one, or multiple x-intercepts. Zero intercepts occur when the line or curve never crosses the x-axis. One intercept indicates a single point of intersection. Multiple intercepts happen when the line or curve crosses the x-axis in different locations. The x-intercepts in (x, y) format would be represented as (0, 0).