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Functions and Operations


A Short Table of Functions
 


1. The absolute value of a number, n.
Enter negatives as "-x" rather than "- x"
 
 


2. The square root of a number, (n).
The domain on this page is nonnegative values.
 
 

3. The perimeter, P(L, W) = 2(L) + 2(W), or the
area, A(L, W) = (L)(W), of a rectangle.
 
Width:  
Lenght:   
 
    is

4. Since all sides of a square are the same length,
the length equals the width, L = W.
    The perimeter is four times the lenght:
P(L, W) = 2(L) + 2(W) = 2(L) + 2(L) = 4(L)
    The area is the length squared:
A(L, W) = (L)(W) = (L)(L) = L²
The perimeter, P(L) = 4(L) or the
    area, A(L) = L², of a square rectangle.
 
Lenght:   
 
    is

5. Circles are describe in terms of their radius or diameter.
The circumference is the perimeter of a circle.
The circumference,
    in terms of radius, or
    in terms of diameter,
The area,
    in terms of radius, or
    in terms of diameter,
 
Using a radius of:  
    The ( or ) is:
    square units or units.
Using a diameter of:  
    The ( or ) is:
    square units or units.

6.1 The midpoint of a segment,
M(x1,y1,x2,y2)= ( (x1+x2)/2, (y1+y2)/2 ).
First Endpoint: (, )
Other Endpoint: (,
Midpoint Coordinates: (, )


6.2 The diagonal of a rectangle,
D(L, W)= (L² + W²).
Width:  
Lenght:   
 
 

6.5. The are of a triangle, A(b, h)= (½)(b)(h).
height:  
base:   
 
 

6.75. The area of a trapezoid,
A(b1, b2, h)= (b1 + b2)(h)/2.
  height:  
base:  
other base:  
 

7. Distance between 2 points:
Each point is named by one, two, or three coordinates.
 
The distance formulas used for a line, a plane, or in space.
.
From: () to (
From: (, ) to (,
From: (, , ) to (, , )
           

8. A Number to a Power.
Please do not use fractions. Rewrite the fraction as a decimal or integer number.
x:       y:  
 
 
9. The log of a number,
The domain on this page is positive values. Rounding of the result is necessary.
 
()
 
 

10. The volume of a rectangular prism, V(l,w, h)= lwh.
The volume of a rectangular pyramid, V(l,w, h)= lwh/3.
lenght:  
width:  
height:  
  cubic units
  cubic units

11. The volume of a cylinder, V(r, h)= r²h.
The volume of a cone, V(r, h)= r²h/3.
radius:  
height:  
  cubic units
  cubic units


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