Problema Solution
Determine the x- and y-intercepts of the graph. Write them as points.
Determine the domain and vertical asymptotes, if any, of the function.
Write the domain in interval notation.
Determine the horizontal or oblique asymptote, if any, of the function.
Obtain additional points on the graph. Plot the x- and y-intercepts, the additional points, and the asymptotes that you found on a rectangular coordinate system and graph the function.
Answer provided by our tutors
To find the x-intercepts from looking at a graph, you would find the places where the graph crosses the x-axis. These points are the x-intercepts and will be in the form (x,0) where x is how many spaces over you need to go to get to each point (it will be negative if you go to the left and positive if you go to the right). To find the x-intercepts from an equation, you would substitute zero for y and solve for x. Your answer(s) will still be in the form (x,0) where x is/are your solution(s) when y=0.
To find the y-intercepts from looking at a graph, you would find the places where the graph crosses the y-axis. These points are the y-intercepts and will be in the form (0,y) where y is how many spaces up/down you need to go to get to each point (it will be negative if you go down and positive if you go up). To find the y-intercepts from an equation, you would substitute zero for x and solve for y. Your answer(s) will still be in the form (0,y) where yis/are your solution(s) when x=0.