What's a Function?
Linear, Quadratic, or Exponential?
Sequences
Function Evaluation & Real-World
Identify & Compare Patterns
100
What is the definition of a function?
A relation where each input has only one output.
100
Draw what each parent function looks like on a coordinate plane (Linear, Quadratic, Exponential).
100
Write the first four terms of the sequence gn=
g_n= 4 * 3^(n-1)
4, 12, 36, 108...
100
Evaluate f(x)=5x+2 when x=3
f(3)=17
100
What is the pattern type in this sequence:
4, 8, 12, 16
Common difference, +4 each term
200
Determine if the relation is a function:
{(1,2), (2,3), (3,3)}
Yes, it is a function.
200
Identify the type of function:
y=4x+2
Linear
200
Determine if the sequence is arithmetic or geometric:
2, 4, 8, 16...
Geometric
200
The temperature starts at 17°F and increases 2°F per hour. Write the function.
f(x)=2x+17
200
What is the pattern type in this sequence:
3, 6, 12, 24
Common ratio, x2 each term
300
Is this a function:
x-values: {-2, -1, 0}
y-values: {5, 5, 5}
Yes, it is a function.
300
Identify the type of function:
y=x2+3
Quadratic
300
Write the recursive rule for:
-8, -1, 6, 13...
a_1=-8, a_n=a_(n=1)+7
300
The function for increasing temperatures is f(x)=2x+17. If the temperature is now 33°F, how long has it been increasing?
The temperature has been increasing for 8 hours.
300
Find the common different or ratio:
2, 4, 6, 8...
Common difference +2
400
Given f(x)=3x+1, find f(-2)
f(-2)=-5
400
Identify the type of function:
y=2(3)x
Exponential
400
Find the 4th term for
g_1=124, g_n=(1/2)g_(n-1)
g4=15.5
400
A baseball's height is modeled by the formula below. What is it's height (in feet) after 2 seconds?
h(t)=-16t^2+80t+5
After 2 seconds, the baseball's height is 101 feet.
400
Find the common different or ratio:
3, 9, 27, 81...
common ratio x2
500
How do you test if a graph shows a function?
Vertical line test.
500
Given in inputs and outputs, determine the function type:
inputs: 1, 2, 3, 4
outputs: 1, 4, 7, 10
Linear
500
A sequence starts with 81 and decrease by (1/3) each term. What is the recursive rule?
g_1=81, g_n=81*(1/3)^(n-1)
500
A toy rocket's height is modeled by the function below. At what time will the rocket reach 90 meters?
h(t)=-5t^2+40t+10
The toy rocket will reach 90 meters at 4 seconds.
500
The sequence 10, 7, 4, 1... is arithmetic. What is its explicit rule?
a_n=10-3(n-1)