How to Sketch a graph of f and g with these equations? (Algebra 2)

Question

sketch a graph of f and g with equations f(x) = |x-4| and g(x) = 8.1, and label the coordinates of the points of intersection

Answer 1

The graph of f(x) = l x - 4 l is "V-shaped" with lowest point at (4,0). The graph of g(x) = 8.1 is a horizontal line with y-intercept (0, 8.1).

The graphs intersect when l x - 4 l = 8.1.

So, x - 4 = 8.1 or -8.1.

x = 12.1 or -4.1

Points of intersection: (12.1, 8.1) and (-4.1, 8.1)