stRange Domains
Keep The Function Family Close
Name That Po-characteristic!
The nitty gritty of graphing (labels and such)
It depends...
100
What is the IRL range of a ball being thrown? It's path is represented by the graph below
0<=y<=75
100
Which of the equations below is a linear function?
a: f(x) = x + 2
100
Which characteristic of a graph tells us about slope?
Negative/Positive intervals (i.e. when a graph is increasing/decreasing).
100
Dee is investing in stocks now. She starts with $100 and doubles her money each year. After two years, she has $400. What should the labels on the y- and x-axes be (remember units)?
y-axis: Total Money Invested (Dollars)
x-axis: Time Spent Investing (Years)
100
Sort these phrases into two groups:
y-axis, x-axis, domain, range, independent, dependent, input, output
y-axis, range, dependent, output
x-axis, domain, independent, input
200
What is the range of the graph below?
y = -6, -2, 2, or 6
200
What type of function is f(x) = 5x
Exponential (the independent variable is an exponent, so it is exponential).
200
Who's that pokemon?
Raichu
200
Jill is draining a ten-gallon tub of water. It took 6 minutes and 30 seconds to drain fully. What should we label the y-axis (remember units)?
Water in the Tub (Gallons)
200
What are the independent and dependent variables in the graph below (make sure you are also identifying the units). 
Independent Variable: Time in minutes
Dependent Variable: the distance from Sarah's house in miles.
300
What is the domain and range of the function represented by the table below?
Domain: x = -10, -5, 0, or 5
Range: y = 0, 25, or 50
300
Which function families create a continuous curve (in this case curves are not straight lines).
a. linear functions
b. exponential functions
c. linear absolute value functions
d. quadratic functions
e. linear piecewise function
b. exponential functions
and
d. quadratic functions
300
which of the graphs below have an absolute minimum or maximum?
Graph C (Quadratic Function) and graph D (absolute value function)
300
Dee is investing in stocks now. She starts with $100 and doubles her money each year. After two years, she has $400. What should each grid line on the x-axis be?
Every 2 lines should be 1 year, so each gridline should be 1/2 of a year.
300
Grissom draws different sized spheres in a notebook and is interested in finding their volume. He knows there is a relationship between the volume of the sphere and the length of its diameter. Which is the independent quantity in the situation?
The diameter of the circle (because if we are trying to find the volume, it depends on what the diameter is).
400
What is the IRL domain of the path of a ball represented by the graph below?
0<=x<=4.1
It's okay of you wrote something between 4.1 and 4.3 for the rightmost point of the graph.
400
Which function family does the graph below fall into?
Linear Absolute Value
400
The domain for the graph below is ℝ. Which parts of the domain is the graph increasing and decreasing?
The graph increases from -∞ to x = 1 and decreases from x=1 to ∞.
In other words the graph is increasing when x<1 and decreasing when x>1
400
What is the maximum of the graph below? What does this point represent?
(2, 75), At 2 seconds the height of the ball has reached its highest point at 75 feet.
400
I grade you based on points you earn on a variety of assignments (worksheets, notes, tests, quizzes, activities). What is the independent quantity here?
Points earned
500
What is the domain and range of the graph below?
Domain: ℝ aka
-∞ < x < ∞
Range: y<0 aka
-∞ < y < 0
500
Which of the function families below will have an absolute minimum or maximum.
a. linear functions
b. exponential functions
c. linear absolute value functions
d. quadratic functions
e. linear piecewise function
c. linear absolute value functions
and
d. quadratic functions
500
Which characteristics best describe the graph:
(symmetry? function? continuity? family? intercepts? increasing/decreasing? maxima/minima?
1. symmetric across x = 2.5
2. yes, it is a function
3. discrete
4. quadratic (shaped like a parabola)
5. no x intercept, y = -6
6. both increases and decreases
7. maximum: y = 6, minima: y = -6
500
Dee is investing in stocks now. She starts with $100 and doubles her money each year. After two years, she has $400. What should each grid line on the y-axis be?
+50 so ...
0, 50, 100, 150, 200, 250, 300, 350, 400, ...
500
Sarah drove to the grocery store several miles away. She was at the grocery store for several minutes. Then Sarah drove back to her house. If we graphed her trip based on her distance from her house and time, what would the independent and dependent quantities be? Which axes do they belong on?
y-axis (dependent quantity): distance from home (miles)
x-axis (independent quantity): time (minutes)