This word is used to describe the set of all inputs for a function.
Domain
What is the definition of a function?
A relation where each input has one and only one output.
Evaluate y = 2x +1 when x = -3
y = -5
A table of values for a linear function is given. Fill in the missing value.
x -1 0 1
y 3 8 ?
y = 13
Evaluate 5+7x2
19
What are the three D's (from our notes)
Don't Double the Domain
Yes
Evaluate y= x2 + x + 1 when x = -5
y = 21
A table of values for a linear function is given. Fill in the missing value.
x -1 0 1
y 3 -2 ?
y = -7
The sum of all angles in a triangle
180 degrees
This word describes a relation that pairs each x value with only one y value.
A function
Is this a function and why?
No because x=8 has two outputs (3 and -3)
Evaluate y = x2 - 2 when x = -2
y = 2
A table of values for a linear function is given. Fill in the missing value.
x 2 3 5
y 2 1 ?
y = -1
These are the types of transformations that DO NOT change size.
Rotations, Reflections, and Translations
What visual test can be used to determine if a graph is a function?
The Vertical Line Test
Does the following table represent a function?
x y
1 2
2 5
6 2
2 9
5 1
No, because the input (x) of 2 has two different outputs (y)
Evaluate y = 4x2 - 1 when x= -2
y = 15
A table of values for a linear function is given. Fill in the missing value.
x -21 0 21
y -4 -7 ?
y = -10
Same size and shape
If you were to write the input and output as coordinates, how would you do it?
(input, output)
No, vertical lines are not functions.
If y = 8 what is x if y = 2x + 4
x = 2
A table of values for a linear function is given. Fill in the missing value.
x 3 7 10
y -23 -55 ?
y = -79
Translate the point (3, 2) up 4 units and left 8 units. What are the coordinates?
(-5, 6)