1.2 – Identifying Types of Functions
Linear Functions
Slope Intercept Form:
Point Slope Form:
Standard Form:
Identifying Types of Functions
Quadratic Functions
Standard Form:
Vertex Form:
Identifying Types of Functions
Absolute Value Functions
Vertex Form:
Identifying Types of Functions
Exponential Functions
General Form:
Identifying Types of Functions
Identify each function as linear, quadratic, absolute value, or exponential.
y = x 2 + 3x − 8
5 x + 10 y = 20
y = 2 x − 4 + 19
x
1
y = 3  − 7
2
2
y = 2 ( x − 3) + 6
y = 13x − 19
Identifying Types of Functions
Linear Functions
What is the pattern among the y-values?
Identifying Types of Functions
Quadratic Functions
What is the pattern among the y-values?
Identifying Types of Functions
Absolute Value Functions
What is the pattern among the y-values?
Identifying Types of Functions
Exponential Functions
What is the pattern among the y-values?
Identifying Types of Functions
What type of function is described in each scenario?
The hotel charges its guests a fixed amount per hour to use the Wi-Fi.
The cost to use Wi-Fi represents what type of function?
The number of cells that are reproducing double every hour.
The cell growth represents what type of function?
A football player kicks a field goal.
The path the football travels represents what type of function?
Identifying Types of Functions
What type of function is described in each scenario?
A car loses about half of its value each year.
The value of the car of time represents what type of function?
The admission to six flags cost you $55. You stayed there for 5 hours.
The total cost of your trip represents what type of function?
Manufacturers of a steel drill bit accept an error range of .001 in diameter. The
diameter is .15 cm.
The acceptable range represents what type of function?
Graphing Functions
Graph the following by completing the table of values.
f ( x ) = −2 x
Function Family:
x
-2
-1
0
Domain:
1
2
Range:
Compare to the parent graph:
y
Graphing Functions
Graph the following by completing the table of values.
f ( x ) = x2 + 3
Function Family:
x
-2
-1
0
Domain:
1
2
Range:
Compare to the parent graph:
y
Graphing Functions
Graph the following by completing the table of values.
f ( x ) = ( x + 2)
3
Function Family:
x
y
-4
-3
-2
Domain:
-1
0
Range:
Compare to the parent graph:
Why did the
x-values
change?
Graphing Functions
Graph the following by completing the table of values.
f ( x) = x − 1
Function Family:
x
0
1
2
Domain:
5
10
Range:
Compare to the parent graph:
y
Graphing Functions
Graph the following by completing the table of values.
x
1
f ( x) =   − 2
 3
Function Family:
x
-2
-1
0
Domain:
1
2
Range:
Compare to the parent graph:
y
1.2 - Homework
WS 1.2