Functions!

Function Notation

100

For a function g(x), what is the NAME of the function?

f

200

For a function h(x), what is the INPUT of the function

x

300

If h(3) = 1, what is the output of the function?

1

400

Write the function for the following statement:

To get the output of the function F, add 4 to the input, then multiply the result by 2

F(x)=2(x+4)

2x+4 is NOT correct

Dog on a Post

100

What was the NAME of the dog in this problem?

Gertrude or Scooby (depending on your class period)

200

If you have the x (input) being time in seconds and the y (output) being the distance from the post

Draw a graph that shows that the dog started 0 feet from the post, walked the furthest he could go, then laid down 

Mr. M will draw 

300

If you have the x (input) being time in seconds and the y (output) being the distance from the post

Draw a graph that shows that the dog was moving around the whole time

Mr. M will draw

400

If you have the x (input) being time in seconds and the y (output) being the distance from the post

Draw a graph that shows the dog walked around for 30 seconds, laid down for 30 seconds, then walked back towards the post

Mr. M will draw

Find the Output

100

If f(1)=12 and f(6)=1, which input gives the greater output?

1

f(1) is NOT correct since f(1) is not an input (it's actually an output)

200

f(x) = 3x+1

What is f(1) = ?

f(1) = 3(1)+1 = 4

300

Mr. M has two functions:

g(x)=x²

t(x)=x³ 

Which gives a greater output at x=1?

They are the same! AKA neither is greater

400

Take the two functions:

f(x)=80-15x

g(x)=25+10x

Which has a greater output when the input is 1?

f(x)

Say the Sentence

100

If the function C(f) represents the amount of cakes you can bake per pounds of flour, f. Write a SENTENCE  FRAME to show how you'd explain this function value:

C(1) = 3

C(1) = 3 means that you'd need _____  pounds of flour (input) to make _____ cakes (output)

More generally: we talk about the input then the output (assuming we have both)

200

The function m(t) represents the amount of math problems done in t minutes . Write the following function notation statement as a sentence.

m(13)

The amount of math problems done after 13 minutes

300

The function C(n) represents the cost (in dollars) of buying n apples. Write the following function notation statement as a sentence.

C(2) = 3

The cost of buying 2 apples is $3

400

P represents the profit from running a lemonade stand as a function of time in hours.

First: Write the function for this equation. Then, come up with a specific input and write a sentence explaining what it means 

The function is P(t)

Ex answer: P(1) = 30 means that after 1 hour of running the stand, you make $30