1. 


The graph of a nonlinear functions must cross at least one axis. 
2. 


A ratio of two linear functions is always nonlinear. 
3. 


The graph of a quadratic function f(x) = ax^{2}+bx+c (a 0) is always a parabola. 
4. 


Some parabolas cross neither axis. 
5. 


a^{9} = (a^{3})^{3} 
6. 


a^{6} = a^{3}a^{2} 
7. 


a^{5} = a^{3} + a^{2} 
8. 


a^{2} =  1
a^{2} 

9. 


1
a^{1/2}  =  a^{1/2} 

10. 


(a+b)^{1/2} = a^{1/2} + b^{1/2} 
11. 


f(x) = 2(3^{x}) is an exponential function. 
12. 


g(x) = 2(4^{2x}) is an exponential function. 
13. 


r(x) = 10x^{2.1} is an exponential function. 
14. 


h(x) = 4(3^{x1}) is an exponential function. 
15. 


log 6 = log 3 + log 3 
16. 


log 6 = log 3 + log 2 
17. 


log 9 = (log 3)^{2} 
18. 


ln 3(1.05)^{20} = 20 ln (3.15) 
19. 


ln 3 = ln(3) 
20. 


An investment earning 20% interest compounded twice a year is better than one earning 19.7% interest compounded continuously. 
21. 


(1 + 0.03)^{3x} can be entered in a graphing calculator as 1.03^(3*x) 
22. 


Any situation that can be modeled with a sine curve can also be modeleld with a cosine function. 
23. 


Any situation that can be modeled with a cosine curve can also be modeleld with a sine function. 
24. 


sin(x+y) = sin(x) + sin(y) 