Let g(x)=cos- 1 πTX 2 1 and h(x)=3x+x³-30x² + 1. If f is a function such that h(x) ≤ f(x) ≤ g(x) for -3

If xis large, which function grows faster, f(x)=2x or g(x)=x2?

What does it mean to say that f(4) is a local maximum valueof f ?

Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.

bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

What is the composition of two functions, fg ?

If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local extremum offon (a,c) ?