Functions: Input/Output & Function Notation

Functions: Input/Output & Function Notation

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Multiple Choice

How would we write:

"the function f of x"?

• x(f)

• f(x)

• y(x)

• function f

Multiple Choice

How would we write:

"The function g of h"?

• f(x)

• g(h)

• h(g)

• f(h)

Multiple Choice

What is another way we can think of f(x)?

• y or the output

• x or the input

• the variable

• g

Multiple Choice

Evaluate the function at 2.

f(x) = 5(x) + 10

• 10

• 15

• 20

• 25

Multiple Choice

Evaluate the function at 5.

f(x) = 5(x) + 10

• 35

• 25

• 15

• 45

Multiple Choice

Evaluate the function at 3.

g(h) = 5 + 10(h)

• 35

• 45

• 25

• 15

Poll

How are you feeling about this content?

1 = bad

4 = grand

• 1

• 2

• 3

• 4

Multiple Choice

The mouse gains 2 pounds for every donut it eats. The total weight (W) depends on the number of donuts (D) eaten. What is the input and output here?

• input = # of donuts

  output = weight

• input = weight

  output = # of donuts

Multiple Choice

The mouse gains 2 pounds for every donut it eats. The total weight (W) depends on the number of donuts (D) eaten. How would we write this as a function?

• W(D) = 2D

• D(W) = 2D

• D(W) = W

• W(W) = 2D

Multiple Choice

W(D) = 2D

Evaluate our function for 3 donuts. (D)

• 3

• 4

• 5

• 6

Multiple Choice

Mr. Gill makes money selling pizza.

His total money (m) depends on the # of pizzas he sells (p).

Identify the independent & dependent variable.

• IV = # of pizzas sold (p)

  DV = total money (m)

• DV = # of pizzas sold (p)

  IV = total money (m)

• IV = # of pizzas he eats

  DV = total money he spends

Multiple Choice

Mr. Gill makes money selling pizza.

His total money (m) depends on the # of pizzas he sells (p).

He makes $5 per pizza.

Write this as a function named m.

• p(m) = 5m

• p(m) = 5p

• m(p) = 5p

Multiple Choice

Evaluate how much money Mr. Gill would have after selling 4 pizzas.

m(p) = 5p

• m(4) = 5p(4)

  
  

  m(4) = 20p

• 4 = 20

• 4(p) = 4p

  
  

  4(p) = 20

• m(4) = 5(4)

  
  

  m(4) = 20

Multiple Choice

The height (h) of my plant depends on how much water (w) it gets.

Identify the IV & DV

• IV = w

  DV = h

• IV = h

  DV = w

Multiple Choice

The height (h) of my plant depends on how much water (w) it gets.

It grows 5 inches per L of water and is already 10 inches tall.

Identify the correct function.

• h(w) = 5w + 10

• w(h) = 5h + 10

• w(h) = 5w + 10

Multiple Choice

h(w) = 5w + 10

Evaluate the function for w = 2

• h(2) = 20

• h(2) = 30

• 2(h) = 25

Monday 03/26

Multiple Choice

Evaluate the function at 2.

f(x) = 5(x) + 10

• 10

• 15

• 20

• 25

Multiple Choice

How would we write:

"The function g of h"?

• f(x)

• g(h)

• h(g)

• f(h)

Multiple Choice

Which is the input? Which is the output?

• IV = input

  DV = output

• IV = output

  DV = input

Multiple Choice

The height (h) of my plant depends on how much water (w) it gets.

Identify the IV & DV

• IV = w

  DV = h

• IV = h

  DV = w

Multiple Choice

The height (h) of my plant depends on how much water (w) it gets.

It grows 5 inches per L of water and is already 10 inches tall.

Identify the correct function.

• h(w) = 5w + 10

• w(h) = 5h + 10

• w(h) = 5w + 10

Multiple Choice

h(w) = 5w + 10

Evaluate the function for w = 2

• h(2) = 20

• h(2) = 30

• 2(h) = 25