Question

Plot the graph of a function f(x)=(2x+1)/(x−2) and find x and y intercept of f(x). A. ( -1/2 , 0) and (0 , -1/2) B. (-1 , 0) and (0 , -1/2) C. ( -1/2 , 0) and ( 0 , -1) D. (-1 , 0) and ( 0 , -1)

Answer 1

To plot the graph, find the x-intercept and y-intercept of the function f(x) = (2x+1)/(x-2). The x-intercept is (-1/2, 0) and the y-intercept is (0, -1/2).

Step-by-step explanation:

To plot the graph of the function f(x) = (2x+1)/(x-2), we can start by finding the x and y intercepts.

To find the x-intercept, we set y = 0 and solve for x. So, 0 = (2x+1)/(x-2). By cross multiplying and simplifying, we get 0 = 2x + 1. Solving for x, we find x = -1/2. Therefore, the x-intercept is (-1/2, 0).

To find the y-intercept, we set x = 0 and solve for y. So, y = (2(0)+1)/(0-2). Simplifying, we get y = -1/2. Therefore, the y-intercept is (0, -1/2).