Linear
What is the domain of this linear function?
All real numbers
What is the domain of this quadratic function?
All real numbers
Maximum or Minimum?
Minimum
What is the domain of this exponential function?
All real numbers
Which function has an axis of symmetry and vertex?
Quadratic
What is the shape of a linear function?
Line
What is the shape of a quadratic function?
Parabola
A small marshmallow is launched straight up in the air with a slingshot. Function h below gives the height in meters of the marshmallow:
h(t) = 5 + 20t − 5t^2
What height was the marshmallow launched from?
5 meters
What is the shape of an exponential function?
Which function has a constant rate of change?
Linear
What is the degree of this linear function y=2x+5?
Degree 1
What is one thing that a quadratic function has that linear and exponential functions don't have?
vertex
axis of symmetry
squared term
What are the coordinates of the vertex?
(-2,-1)
What is the y-intercept for this exponential function?
(0,3)
x y
1 7
2 9
3 11
4 13
Linear
How would you describe the change in y-values of a linear function?
Constant
What is another name for the constant term in a quadratic function?
starting point, y-intercept
What are the zeros of this function?
(4,0) and (1,0)
How would you describe the change in y-values of an exponential function?
Common factor
x y
-12 143
-8 63
-4 15
0 -1
4 15
8 63
Quadratic
Give an example of a linear function that models a real life situation.
Money per hour
Constant rate of increase or decrease
Give an example of quadratic function that models a real life situation.
throwing, dropping, launching objects
profit/revenue
What is the y-intercept of this function?
(0,4)
Give an example of an exponential function that models a real life situation.
Algae, bacteria, money multiplying (doubling, tripling, etc.)
Value of car, computer, etc
Depreciating value (decay)
x y
0 1
1 0.5
2 0.25
3 0.125
4 0.0625
Exponential