Are You Having Fun(ction)?
Am I a function?
What's my function?
Key Features of Graphs
Domain & Range
Miscellaneous
The "Real" world & Misc.
100
This word is used to describe the set of all inputs for a function.
What is the domain?
100
What is No, not a function? It does not pass the vertical line test.
100
f(-3) if f(x) = 2x +1
What it -5 ?
100
What is the maximum value for the graph?
6
100
Find the DOMAIN:
{(-2, 4), (3, 2), (2, 10)}
What is {-2, 3, 2}?
100
In the given equation, what is the slope of a line perpendicular to this
y = -1/3 x + 4
m = 3
100
You are camping at the Grand Canyon. When you pitch your tent at 1:00 PM the temperature is 81 degrees F. When you wake up T 6:00 AM, the temperature is 47 degrees F. What is the average rate of change in the temperature? Round to the whole. Estimate the temperature when you went to sleep at 9:00 PM.
2 degrees F/h
65 degrees F
200
This word is used to describe the set of all outputs of a function.
What is the range?
200
What is Yes?
200
Let f(x) = x2 + x + 1; find f(-5).
What is 21?
200
The shaded region is increasing, decreasing, or constant.
Decreasing Interval
200
Find RANGE:
y>=-1 [-1, infinity)
200
What is the RANGE of the situation?
{0,20,40,60,80,100,120}
200
The height h in (in feet) at which a wave breaks varies directly with the wave length l (in feet), which is the distance from the crest of one wave to the crest of the next. A wave that breaks at a height of 4 feet has a wave length of 28 feet. Write a linear model that gives has a function of t. Then find the wave length of a wave that breaks at a height of 5.5 feet.
h = 1/7 t
38.5 ft
300
What is the maximum value of a graph?
The largest y-value of the graph.
300
The mapping diagram shows a function or not.
What is No, not a function?
300
Based on the graph of the function, what is f(4)?
f(4) = -2
300
What is the first increasing interval for this graph?
[-4,-2]
300
Find DOMAIN:
all real numbers
(neg infinity, pos infinity)
300
Write the equation of a line with a slope of 3/2 and a y-intercept of -4
y = 3/2 x - 4
300
Is the origin a solution to the given inequality
9x -9y > -36
yes
400
How do you determine if a GRAPH is a function or not?
What is the Vertical Line Test?
400
Does the following table represent a function?
x y
1 2
2 5
6 2
2 9
5 1
What is No, because the domain of 2 has two different ranges 5 and 9
400
Evaluate this function for P(-4) if
P(x)=-1/2x2 + 5x + 2
P(-4)=-26
400
The y-intercept of the graph.
What is (0, 4)?
400
Find the DOMAIN:
-5<=x<=8 or [-5,8]
400
The variables x and y vary directly. Write an equation that relates the variables.
x = 0.8, y = 1.6
y = 2x
400
Is (-4,6) a solution to the inequality
3/2 x + 2/3 y > 1
No
500
This word describes any set of ordered pairs where each x-value is paired with one y-value.
What is a Function?
500
Is this a function and why?
What is no, because the range at x=8 repeats?
500
Find f(4) =
f(4) = 0
500
Find f(-3) if f(x) = 2x2 + 12x + 16
f(-3) = 2
500
Find the RANGE:
-3<=y<=2 or [-3, 2]
500
The variables x and y vary directly. Find the equation that relates the variables. Find y when x = 8
x= 2, y = 7
y = 3.5x, y = 28
500
Hailstones are formed when frozen raindrops are caught in updrafts and carried into high clouds containing water droplets. As a Rule of thumb, the radius r (in inches) of hailstone varies directly with the time t (in seconds) that the hailstone in in a high cloud. After a hailstone has been in a high cloud for 60 seconds, its radius is 0.25 inch. Write a linear model that gives r as a function of t. Then estimate how long a hailstone was in a high cloud if its radius measures 2.75 inches
r = 1/240 t
11 minutes