Calculus is the mathematical study of continuous change. A function is a rule that associates each input with a unique output. For example, the function f(x) = x^2 if x is even and f(x) = x + 5 if x is odd. A limit provides the closest possible value of a function as the input approaches some number.

1. Calculus
Alvin Dale S. Joyosa

2. Calculus
• Calculus, originally called infinitesimal calculus or "the calculus of
infinitesimals", is the mathematical study of continuous change

3. Function
• A function is a rule or correspondence which associates to each
number x in a set A a unique number f(x) in a set B
• In Abstract term function is something that will take an input and it
will do something in that input and based on an input it will produce
a given output.

4. Example of function
f(x) ={x2 if x is even / x+5 if x is odd}

5. • h(a) = the next largest number that starts with the same letter as var
a
• Example h(2)=
• Example h(8)=

6. Example
• y=f(x)=x+1

7. Limit
• f(x)=x-1/x-1