Key Concepts
- Solutions to problems involving combined functions can lead to a range of acceptable answers.
- Number of ways to graphically illustrate inequalities of combined functions
- graph or algebra to graph
Desmos can get u answer easily
Solving Algebraically
- move all to one side. f(x) > g(x) turns to f(x) - g(x) > 0
- Factor out. note critical values
- Chart Making. put in test values for each interval
Difficult Ones
sinx > logx You can use newton rhapson method and bisection method
Division
When numerator larger than denominator, result is between 0 and 1.
Revenue and Cost Graphs
When they intersect, the range between the intersection is the profit.
Make the r(x) = c(x) then find the roots.
Maximum profit is the vertical shift of the polynomial. its the constant