Intercept Definition - Online Tutoring

Intercept Definition - Online Tutoring The point of intersection of a curve of a function and the axes is known as its intercept. The intercept can be either x interceptor y intercept. X intercept is the point where the curve intersects the x axis. Y intercept is the point where the curve intersects the y axis. Example 1: Given below is the graph of the function y = 2x + 4. Find the intercepts of the function. Solution: The curve of the given function y = 2x + 4 is a straight line. The straight line intersects both the axes at two distinct points. The curve of the function intersects the x axis at x = - 2. So the x intercept of the given function is the point (- 2, 0). At y = 4, the line intersects the y axis . Thus the y intercept of the given function is (0, 4). Hence the intercepts of the given function are (-2,0) and (0,4). Example 2: Find the intercepts of the following function y = -3x 6. Solution:As we can see in the graph, the curve of the given function is a straight line. The line intersects the y axis at -6. Thus the point of intersection of the curve and the y axis is (0, -6). The curve intersects the x axis at x = - 2. Therefore the point of intersection of the x axis and the curve is (- 2, 0) Hence the intercepts of the given function are (-2, 0 ) and (0, -6).