STANDARD A.REI.D.11
AI 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.
Algebra I tasks are limited to cases where f(x) and g(x)
are linear, polynomial, absolute value, and exponential functions of the
form f(x)=a(b)x where a>0 and
b>0 (b≠1). Students should be taught to find the
solutions approximately using technology to graph the functions and make
tables of values. When solving any problem, students can choose either
strategy.
AII/Precalculus
Explain why the x-coordinates of the points where the graphs of the
equations y=f(x) and y=g(x) intersect are the solutions of the equation f(x)=g(x);
find the solutions approximately, e.g., using technology to graph the
functions, make tables of values, or find successive approximations. Include
cases where f(x) and/or g(x) are linear, polynomial, rational, absolute
value, exponential, and logarithmic functions. |