for the x-intercept, set y = 0
=> 0 = 3x - 6
=> x = 2
thus, our y-intercept is (0,-6) and our x-intercept is (2,0)
so plot those points on a pair of axis and draw a straight line through them and you're done. see below
to find the inverse function of y = f(x), we switch x and y and solve for y.b. draw the inverse aswell
thus for the inverse of y = 3x - 6, we solve: x = 3y - 6 for y.
=> y = (1/3)x + 2 is the inverse function.
graph this the same way i did the other.
for any graph that has an inverse, the graph and it's inverse is symmetrical about the line y = x.c. what is y=3x and its inverse symmetrical about?
i leave this question to you. after drawing the graphs, you tell med. what do you notice about the line of symmetry?