3.1: Function Notation
{(1,4),(5,6),(3,7),(2,2)}
Is This a Function?
Yes
List the Domain & Range of the following:
{(1,3), (3, 7), (5,8), (8,6)}
Domain: {1,3,5,8}
Range: {3,7,8,6}
Average rate of change for f(x)=x2+2x-4 from 3-6
11
Determine if the function is even, off, or neither:
f(x)=2x4+4x
neither
Determine the Inverse function of:
f(x)=3x-5
y=x+5/3
{(1,3),(2,5),(1,2)}
Is this a function?
No
List the Domain and Range of the Function
{(2,8), (3,4),(5,7),(6,7)}
Domain: {2,3,5,6}
Range:{8,4,7}
Average rate of change for f(x)=√x from 4-9
1/5
Determine if the function is even, odd, or neither:
f(x)=3x2-12
even
Determine the Inverse function of:
f(x)=14+1/4y
y=4x-56
What does the Vertical Line Test say?
Graph is a function if every vertical line hits the graph at most once.
Find the Domain:
f(x)=√20-x
(-∞,20]
Find average rate of change for f(x)=-x2+3x+2 over interval [-1,4]
-2/5
Let f(x)=x2+3x+2 and g(x)=x+2, what is:
a. (f+g)(x)
b.(f-g)(x)
c. (fg)(x)
d. (f/g)(x)
a. x2+4x+4
b. x2+2x
c. x3+5x2+8x+4
d. x2+3x+2/x+2
If f(1)=3, f(2)=6, f(3)=1 and f(4)=5, then:
1. f-1(6)
2. f-1(3)
3.f-1(5)
1. 2
2. 1
3. 4
When is a graph not a function?
If any vertical line hits the graph >1 times
Find the Domain:
3/(x+1)(x-2)
(-∞,-1)U(-1,2)U(2,∞)
Find average rate of change for f(x)=x2+3x over interval [2,2+h]
7+h
Let f(x)=4x+12 and g(x)=x2-4, what is:
(fog)(x):
4x2-4
Determine the inverse function of:
f(x)=3/5x+4
3-4x/5x
A: f(3)
B: f(5)
C: f(x+1)
A: (3,-1)
B: (5,7)
C: x2-3x-1
Find the Domain:
3x-2/2x-6
(-∞,3)U(3,∞)
Find average rate of change for f(x)=2x2-4x+3 over interal [3,4+h]
-9/4+h
Let f(x)=x2-2x+5 and g(x)=2x+6, what is:
a. (fog)(x)
b. (f/g)(x)
c. what is the domain of b?
a. 4x2-20x+29
b. x2+5/6
c.x≠-3
Determine the inverse function of:
f(x)=4/x-2
y=4+2x/x