How do you find the x and y intercepts of a graph of a function?

How do you find the x and y intercepts of a graph of a function?

Finding x-intercepts and y-intercepts

  1. To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y.
  2. To find the x-intercept, set y = 0 \displaystyle y=0 y=0.
  3. To find the y-intercept, set x = 0 \displaystyle x=0 x=0.

What are the x intercepts of the graph the function?

The x -intercepts of a function are the point(s) where the graph of the function crosses the x -axis. The x -intercept is often referred to with just the x -value. For example, we say that the x -intercept of the line shown in the graph below is 7 .

How to find the X and y intercepts of a function?

Set x equal to 0 to find the y -intercept. Then set y equal to 0 to find the x -intercept. Answers are (0, −2) and (3,0), respectively. Plotting instructions are in the Explanation. First, we’ll find our intercepts. The intercept occurs when the function crosses the axis in question, and that means that the value of the opposite axis is equal to 0.

How to graph a line using its intercepts?

Example 2: Graph the equation of the line using its intercepts. This equation of the line is in the Slope-Intercept Form. We can actually graph this using another technique which uses the slope and the y-intercept taken directly from the equation.

Where are the X and y intercepts on the Cartesian plane?

The x-intercepts are points where the graph of a function or an equation crosses or “touches” the x-axis of the Cartesian Plane. You may think of this as a point with y-value of zero. x x. \\left ( {x,0} ight) (x,0). The y-intercepts are points where the graph of a function or an equation crosses or “touches” the y-axis of the Cartesian Plane.

How to graph a line on the xy axis?

Another method to graph a line in the xy-axis or xy-plane is to use its intercepts. What are intercepts? These are points of the line that are found on the