Domain & Range
What letter represents the DOMAIN?
the X value
Think about this...
Is a CIRCLE a function?
No, because it hits two points when you perform the vertical line test.
What makes a relation a function?
What is the INVERSE of this relation?
{(1,4), (2,3), (7,5)}
{(4,1), (3,2), (5,7)}
How do you read this?
f(g(x))
"f of g of x"
What letter represents the Range?
the Y value
Think about it....
Is a HORTIZONTAL line a function?
Yes, because it passes the vertical line test.
Is this relation a function?
{(2,6), (4,1), (10,3), (5,9)}
YES, because the x's don't repeat.
What are the steps to solving the INVERSE OF A FUNCTION?
1. Put it into _____ form.
2. _______ (interchange) the ___ and ___.
3. Solve for ____.
1. Put it into Y= form.
2. SWITCH (interchange) the X and Y.
3. Solve for Y.
If f(x)= 2+x and g(x) = 3x
Find g(f(1))
g(3)= 9
What is the Range of this relation?
{(3,4), (1,2), (6,5), (2,4)}
4,2,5,4
Look at the board...
Is the relation a function?
Yes, because it passes the vertical line test.
Is this relation a function?
{(3,2), (4,2), (5,2), (1,2)}
YES, because the x's don't repeat.
Given: f(x)=5x-2
Find: f-1(x)
f-1(x)= (x+2)/5
f(x)=x+5 and g(x)=4x, evaluate the composition f(g(1))
f(4)=9
What is the domain of this relation?
{(2,1), (4,2), (3, 0), (1, 5)}
2,4,3,1