Algebra Tutorials!
Friday 12th of July
Try the Free Math Solver or Scroll down to Tutorials!

 Depdendent Variable

 Number of equations to solve: 23456789
 Equ. #1:
 Equ. #2:

 Equ. #3:

 Equ. #4:

 Equ. #5:

 Equ. #6:

 Equ. #7:

 Equ. #8:

 Equ. #9:

 Solve for:

 Dependent Variable

 Number of inequalities to solve: 23456789
 Ineq. #1:
 Ineq. #2:

 Ineq. #3:

 Ineq. #4:

 Ineq. #5:

 Ineq. #6:

 Ineq. #7:

 Ineq. #8:

 Ineq. #9:

 Solve for:

 Please use this form if you would like to have this math solver on your website, free of charge. Name: Email: Your Website: Msg:

# Functions and Graphs

## Function Notation

Example

For the function f(x) = 4x2 - 5x + 10, find:

a. f(3)

b. f(-2)

c. f(a)

Solution

a. To calculate f(3) means to find the value of the function when the input variable has a value of 3. That is, substitute 3 for x and then simplify:

 a. Original function. Substitute 3 for x. Multiply. Add and subtract. f(x) f(3) = 4x2 - 5x + 10= 4(3)2 - 5(3) + 10 = 36 - 15 + 10 = 31

So, when x = 3, the value of the function is 31. That is, f(3) = 31.

This can be written as the ordered pair (3, 31).

 b. Original function. Substitute -2 for x. Multiply. Add. f(x) f(-2) = 4x2 - 5x + 10= 4(-2)2 - 5(-2) + 10 = 16 + 10 + 10 = 36

So, when x = -2, the value of the function is 36. That is, f(-2) = 36.

This can be written as the ordered pair (-2, 36).

 c. Original function. Substitute a for x. Simplify. f(x) f(a) = 4x2 - 5x + 10= 4(a)2 - 5(a) + 10 = 4a2 - 5a + 10

Since we do not know the value of a, we cannot simplify this further.