Key Functions:
f ( x)  x 2
Quadratic
f ( x)  x 2
I.
Sketch each parabola on the provide grids.
List the coordinates of the vertex for each.
a)
y   x2
b)
y  ( x  2) 2
c)
f ( x)  x 2  3
d)
f ( x)   x  1  4
*Label seven ordered pairs on the function’s
graph. (integer coordinates only)
*Use interval notation to list the following:
Domain:
Range:
2
II.
Evaluate and simplify each expression
given f ( x)  x 2
IV.
a)
a)
f (4)
b)
f (7)
c)
f (m  5)
d)
f (4  h)  f (4)
h
b)
III.
Solve each equation for all values of ‘x’
given that f ( x)  x 2 .
a)
f ( x)  9
c)
b)
f ( x)  20
Write the function for each graph.
Key Functions:
f ( x)  x
Absolute Value
f ( x)  x
I.
Sketch each function on the given grid.
List the coordinates for the vertex.
a)
y x
b)
y  x 3
c)
y  x 2
d)
y   x 1  4
*Label three ordered pairs on the function’s graph
on both sides of the vertex. (integer coordinates
only)
*Use interval notation to list the following:
Domain:
Range:
II.
Evaluate and simplify each expression.
a)
f (4)
b)
f (7)
IV.
a)
c)
Determine if the following statement is
true or false. Show your work.
f (4)  f (3) = f (4  3) ?
b)
III.
Solve each equation for all values of ‘x’
given that f ( x)  x .
a)
f ( x)  6
b)
f ( x)  8
c)
f ( x  2)  5
c)
Write the function for each graph.
Key Functions:
f ( x)  x3
Cubic
f ( x)  x3
I.
Sketch each function on the given grid.
List the coordinates of the critical point.
a)
y   x3
b)
y   x  2
c)
y  x3  3
d)
y   x3  1
3
*Label five ordered pairs on the function’s graph.
(integer coordinates only)
*Use interval notation to list the function’s:
Domain:
Range:
II.
Evaluate and simplify each expression
given that f ( x)  x3 .
IV.
a)
a)
f (4)
b)
f (7)
c)
f (m  4)
d)
f (2  h)  f (2)
h
b)
III.
Solve each equation for all values of ‘x’
given that f ( x)  x3 .
a)
f ( x)  125
c)
b)
f ( x)  8
Write the function for each graph.
Key Functions:
f ( x)  x
Square Root
I.
Sketch each function on the given grid.
a)
y x
b)
y  x5
c)
y  x 1
d)
y  x
f ( x)  x
*Label four ordered pairs on the function’s graph.
(integer coordinates only)
*Use interval notation to list the following:
Domain:
Range:
II.
Evaluate and simplify each expression
given that f ( x)  x .
a)
f (4)
b)
f (m  4)
c)
h
f (9  h)  f (9)
IV.
a)
b)
III.
Solve each equation for all values of ‘x’
given that f ( x)  x .
a)
f ( x)  6
c)
b)
f ( x)  8
c)
f ( x  3)  5
Write the function for each graph.
Key Functions:
f ( x) 
f ( x) 
1
x
Rational
1
x
I.
Sketch the graph on the given grid. Sketch
the asymptotes with dotted lines and label them.
1
x
a)
y
b)
y
1
x3
c)
y
1
2
x
d)
y
1
1
x2
*Label six ordered pairs on the function’s graph.
(3 in each quadrant.)
Label the Asymptotes on the function’s graph.
*Use interval notation to list the following:
Domain:
Range:
II.
Evaluate and simplify each expression
1
given that f ( x)  .
x
a)
f (4)
b)
f ( 13 )
c)
f (2  h)  f (2)
h
IV.
a)
b)
III.
Solve each equation for all values of ‘x’
1
given that f ( x)  .
x
a)
f ( x)  6
c)
b)
f ( x)   74
Write the function for each graph.
Draw and label the asymptotes.
Key Functions:
f ( x)  2 x
Exponential
I.
Sketch the graph of each function. Draw
and label the asymptotes.
a)
y  2 x
f ( x)  2 x
b)
y  2 x 3
c)
y  2x  3
d)
y  2 x
*Label five ordered pairs on the function’s graph.
(Let x  1 for one of the ordered pairs.)
*Use interval notation to list the following:
Domain:
Range:
II.
Evaluate and simplify each expression
given that f ( x)  2 x .
IV.
a)
a)
f (4)
b)
f (3)
c)
Evaluate but do not simplify:
f (3  h)  f (3)
h
b)
III.
Solve each equation for all values of ‘x’.
a)
f ( x)  64
b)
f ( x)  8
c)
c)
f ( x)  161
d)
8x 
1
32
Write the function for each graph.