Chapter 2 - Functions - 2.1 Input and Output - Exercises and Problems for Section 2.1 - Exercises and Problems - Page 76: 24

a) 4 b) $4+4h+h^2$ c) $4h+h^2$ d) $4+h$

(a) $f(2)=2^2=4$ (b) $f(2+h)=(2+h)^2=4+4 h+h^2$. (c) Using the answers to (a) and (b), we have $f(2+h)-f(2)=4+4 h+h^2-4=4 h+h^2$. d) $$ \frac{f(2+h)-f(2)}{h}=\frac{4 h+ h^2}{h}= 4+h $$