Power and Radical Functions
Section 2.1
Vocabulary
• power function
• monomial function
• radical function
• extraneous solution
A _________________ function is any function that can be written in
the form: f(x)= ___________.
When graphed, you determine the end behavior (and what the graph will
look like) based on whether
_____________ is ______________ or ______________ and
_____________ is ______________ or _____________.
n
_________________ function that can be written in the the form:
f(x)= ___________.
Radical Form
Exponential Form
For radical functions, an important determinant of how the graph will
look is the index__________and whether it is _________ or ________.
Homework
• Page 92
• 6, 14, 20, 26, 32, 34, 46, 50, 58, and 66
Solve Radical Equations
Original Equation
Step 1: Isolate the radical (make
sure the radical is by itself)
Step 2: Square each side to
eliminate the radical.
Step 3: Set the equation = 0
Step 4: Factor
Step 5: Set each parenthesis =0 and
solve for x.
Step 6: Check your solutions!
Example 6
Solve Radical Equations
B. Solve
Answer: 10, –6
.
Solve Radical Equations
Original Equation
Step 1: Square each side
Step 2: Make sure that the radical
is by itself
Step 3: Square each side
Step 4: Set the equation =0
Step 5:Factor
Step 6: Set each parenthesis =0 and
solve for x.
Step 6: Check your solutions!
Answer: 8
Homework
• Page 92
• 28, 42, 70, 72, 76, 78, 90, 96, 98, and 102