Y Intercept Of Rational Function Math
Sal picks the graph that matches f x ax m bx 12 cx m dx 12 based on its y intercept.
Y intercept of rational function math. The rational function is in the form of fraction. So choice a our y intercept is a two. Choice c has its y intercept at y is equal to negative one. So we can rule that out.
Finding intercepts of rational fractions. For example the function y x 2 x 1 x 3 y frac x 2 x 1 x 3 y x 3 x 2 x 1 has x x x intercepts at x 2 x 2 x 2 and x 1 x 1 x 1 and a y y y intercept at y 2 3. To find the y intercept s the point where the graph crosses the y axis substitute in 0 for x and solve for y or f x. An intercept of a rational function is a point where the graph of the rational function intersects the x x x or y y y axis.
Intercepts are the points at which a graph crosses either the x or y axis and they are very useful in sketching functions. To find the x intercept s the point where the graph crosses the x axis รข also known as zeros substitute in 0 for y and solve for x. It looks just eyeballing it at one x equals zero y is one. The point where graph intersect the x axis for that y coordinate is zero and the point where the graph intersect the y axis for that x coordinate is zero.
So we can rule out let s see choice b does have a y intercept. Y f x g x g x 0. An intercept of rational function is a point where the graph of the rational function cuts the x or y axis. Y 3 2.
So this looks interesting. Watch the next lesson.