AI-A.REI.11
Given the equations y = f(x) and y = g(x):
i) recognize that each x-coordinate of the intersection(s) is the solution to the equation f(x) = g(x);
ii) find the solutions approximately using technology to graph the functions or make tables of values; and
iii) interpret the solution in context.
AI-F.IF.7b
Graph square root, and piecewise-defined functions, including step functions and absolute value functions and show key features.
F.BF.3a
Using f(x)+k, kf(x), and F(x+k):
I) identify the effect on the graph when replacing f(x) by f(x) + k, k f(x), and f(x + k) for specific values of k (both positive and negative);
II) find the value of k given the graphs;
III) write a new function using the value of k; and iv) use technology to experiment with cases and explore the effects on the graph.