Functions: Input/Output & Function Notation

How would we write:

"the function f of x"?

How would we write:

"The function g of h"?

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

Evaluate the function at 2.

f(x) = 5(x) + 10

Evaluate the function at 5.

f(x) = 5(x) + 10

Evaluate the function at 3.

g(h) = 5 + 10(h)

How are you feeling about this content?

1 = bad

4 = grand

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?

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

Evaluate our function for 3 donuts. (D)

Mr. Gill makes money selling pizza.

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

Identify the independent & dependent variable.

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.

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

m(p) = 5p

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

Identify the IV & DV

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

Evaluate the function for w = 2

Evaluate the function at 2.

f(x) = 5(x) + 10

How would we write:

"The function g of h"?

Which is the input? Which is the output?

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

Identify the IV & DV

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

Evaluate the function for w = 2