Question

Functions f(x) and g(x) are define below.

f(x) = -sqrt x+2-3
g(x) = -2|x-3|+4

determine where f(x) = g(x) by graphing.

Answer 1

slope:1

y-intercept:(0,0

Answer 2

x = -1 and x = 8.1

See image

Explanation:

If you are allowed to use your graphing calculator, the directions "solve by graphing" means to graph the equations and look for the points where the two graphs intersect (cross) or if allowed, use an online graphing utility such as Desmos. It is really useful. If you may not use a calculator or desmos, then sketch a graph of the functions. Using transformations can help you sketch a graph fairly quickly. You should be memorizing the shape of the graph in its simplest form

y=sqrt x

And

y=|x|

Transformations then reflect, shrink or stretch, and shift sideways or up or down the graph. This is only if you're not allowed to graph it using technology. Remember that the solution is where the graphs cross. ...a little bit tricky: the answers only give the x value instead if two ordered pairs.