Are You Having Fun(ction)?
Am I a function?
What's my function?
Key Features of Graphs
Domain & Range
Miscellaneous
The "Real" world
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

f(n)=2n+1
g(n)=3n
Find f(n)+g(n)


5n+1

100

A chipmunk eats his store of winter acorns at a constant rate of 5 a day. Using the function E(a)= -5a+60 find how long before he eats half of his stash. 

6 days

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

When Mrs. Hulett flew her new brookstick off the lot she had just paid $14,000. Every year it appreciates in value by 1/4 of it's original price. Using the function  C(t)=14000(1+.25)^x  where is the cost of the broomstick and t is the number of years. How many years until the broom is worth more than $50,000?

6 years

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

f(x)=x^2+1

g(x)=2x-5

Find

f(x)-g(x)

x^2-2x+6

300

Mr. Mole left his burrow and starting digging a new tunnel. The function that models his industrious activity is given as

F(x)= -2.3x-7

 where x is the time in minutes and F is the depth of his tnnel. How long would it take him to dig to -50 meters? 

18.696 minutes

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 input (x) of 2 has two different outputs (y)?


400

Evaluate this function for P(x)=-998

F(x)=-1/2x^2+5x+2

P(50)=-998

400

The y-intercept of the graph.

What is (0, 4)?

400

Find the DOMAIN:


-5<=x<=8  or (-5,8]

400

Anna drops a ball from a third-story window. This equation represents the approximate height, h, in meters, of the ball above the ground after it falls for t seconds.

h(t) = -5t^2 + 45

  

Evaluate h(2). Enter your answer as a number.

25

400

A unicorn starts climbing a ladder to a 50 meter platform. The unicorn climbs at a rate of 10 meters/sec, this is modeled by th equation

H(s)= 10x+3

. If the platform is 50 meters high, how long does it take the unicorn to reach the platform?

4.7 seconds

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 x's repeat at 8?

500

Find f(4) =

0

500

f(x) = 2x^2 + 12x + 16

What is the average rate of change of f(x) on the interval [-3, -2].

2

500

Find the RANGE:


-3<=y<=2  or  (-3, 2]

500

f(x) = 4x + 1 and g(x) = 4x - 3


Find

f(x) * g(x)

16x^2 - 8x - 3

500

If a rabbit hops off the top of the Empire State building, the path of the rabbit can be modeled by the function  H(r)=-1/2r^2+5r+350  where r is the time the rabbit spends in the air in seconds and H(r) is the height of the rabbit. How tall is the building?

350 feet

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