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 (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) = 2x+ 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