1. 21.notebook October 24, 2012
21. Functions, Domain and Range, Types of Functions, Tests for Functions
1. If f(x) = x2 + x 10, find f(5).
2. If f(x) = x2 + 1, find f(x + 2)
1
2. 21.notebook October 24, 2012
3. If h(θ) = sinθ, find 4√3h(30o)
2
3. 21.notebook October 24, 2012
Function: each number in domain corresponds with exactly one number in the range.
2 things that restrict the domain of a function
Fractions why?
Square Roots why?
3
4. 21.notebook October 24, 2012
4. If f(x) = √10 x , find the domain of f.
4
5. 21.notebook October 24, 2012
1
5. If g(x) = , find the domain of g.
x 2
5
6. 21.notebook October 24, 2012
6. Find the domain and range of the function y = √x and graph the function.
6
7. 21.notebook October 24, 2012
7. Find the domain and range of the function y = √x + 4 and graph the function.
7
8. 21.notebook October 24, 2012
Mapping
scan picture from page 155
relation mapping or correspondence that maps every member of the domain
to one or more members of the range
onetoone function a function where every element of the range corresponds
to no more than one member of the domain
8
9. 21.notebook October 24, 2012
9. For each diagram, determine whether or not it designates a function:
insert scan from p 156
9
10. 21.notebook October 24, 2012
10. Which of the following sets of ordered pairs are functions?
a) {(1, 2), (2, 3), (3, 4), (4, 5)}
b) {(1, 2), (2, 3), (1, 3), (4, 5)}
c) {(4, 3), (2, 2), (4, 3), (3, 3)}
d) {(1, 1), (4, 1), (1, 1), (3, 2)}
10
11. 21.notebook October 24, 2012
Vertical Line Test tests for a function
insert picture from p 156
11
12. 21.notebook October 24, 2012
Horizontal Line Test a function is onetoone if any
horizontal line intersects its graph at most one point
Insert pic p 157
12
13. 21.notebook October 24, 2012
11. Determine if each graph represents the graph of a
function. If so, determine whether it is onetoone.
insert graphs from 157
13
14. 21.notebook October 24, 2012
8. Find the domain and range of the function f(x) =
√x
x 2
14
