Relations and Functions
What values represent the domain?
Find the value of f(2) for the function f(x)=4x+8
f(2)=16
Suppose g(x)=f(x)-3
How far and in what direction did f(x) get translated onto g(x)?
Down 3 units
What is the reclusive formula?
a1=first value
an=an-1+d
What values represent the range?
y-values
Find the value of f(-3) for the function f(x)=-5x+3
f(-3)=18
Suppose g(x)=f(x)+7
How far and in what direction did f(x) get translated onto g(x)?
Up 7 units
What is the exclusive formula?
an=a1+(n-1)*d
Is a relation with the following points a function:
(1,2),(3,5),(4,3),(1,9),(2,6)
No, an x-value repeats
Write a linear function for the following points:
(0,-2),(2,4),(3,7),(4,10)
y=3x-2
Suppose g(x)=f(x-2)
How far and in what direction did f(x) get translated onto g(x)?
Right 2 units
Is the following sequence arithmetic? If so, what is the common difference?
15, 13, 11, 9, 7,...
Yes, d=-2
What is the vertical line test?
If a vertical line crosses the graph of a relation more than once, the relation is NOT a function
Write a linear function for the following data:
(1,18),(1.5,23),(2,28),(2.5,33),(3,38)
f(x)=10x+8
Suppose g(x)=f(x+11)
How far and in what direction did f(x) get translated onto g(x)?
Left 11 units
Write the reclusive formula for the following sequence:
4, 7, 10, 13,...
a1=4
an=an-1+3
What is the range of the relation?
(2,-1),(8,16),(30,9),(46,16)
{-1,9,16}
In the equation f(x)=14x-10, what is the slope?
m=14
Suppose g(x)=f(5x)
Is the graph of f(x) stretched or compressed?
Stretched by a factor of 5
Write both the reclusive and exclusive equations for the following sequence:
47, 39, 31, 23, 15,...
a1=47
an=an-1-8
an=47+(n-1)*-8