Finding Function rules

M7H 9.1 Functions

Includes writing a function for a table.

Let's practice this together...

Write a function that would represent this relation.

Fill in the Blanks

Write a function that would represent this relation.

Fill in the blank. Leave NO SPACES.

y =

Let's do another one...

Write a function that would represent this relation.

Fill in the Blanks

Write a function that would represent this relation.

Fill in the blank. Leave NO SPACES.

y =

Last one together...

Write a function that would represent this relation.

Fill in the Blanks

Write a function that would represent this relation.

Fill in the blank. Leave NO SPACES.

y =

Now it's your turn to practice.

Multiple Choice

Write the function rule for the table.

• $$y=7x$$

• $$y=5x-1$$

• $$y=5x$$

• $$y=7x+2$$

Multiple Choice

Find the function rule for the function table.

• 2/n

• n + 2

• 2n

• n - 2

Multiple Choice

Which equation matches the table?

• y = x + 5

• y = 5x

• y = x - 5

• x = y - 5

Multiple Choice

What is the function of the table?

• y=2x

• y=x+2

• y=x/2

• y=x-2

Multiple Choice

y=x-6
What is the missing number?

• 12

• 10

• 14

• 13

Multiple Choice

The output is four times the input.

• y = x/4

• 4x

• y = 4x

• y = x +4

Multiple Choice

If the input is 5 for x+9, what is the output?

• 14

• 5

• 4

• 45

Multiple Choice

The ______ values are the set of INPUT values and the ______ values are the set of OUTPUT values.

• x and m

• y and x

• x and y

• m and b

Multiple Choice

Write a function rule for the situation:

The cost (c) of renting a surfboard at $35 and hour (h).

• $$c=35+h$$

• $$h=35c$$

• $$c=35-h$$

• $$c=35h$$

Multiple Choice

Patrick earns $20 for every lawn that he mows. Write an equation used to find t, the total amount of money he earns from mowing n lawns.

• n = 20t

• t = 20n

• t = n + 20

• t = n - 20

Multiple Choice

What is the initial value?

• -3

• 0

• 3

• 20

Multiple Choice

What is the initial value in this table?

• -2

• 2

• 6

• 14

Multiple Choice

Which equation matches the table?

• y = x 

• y = 5x

• y = x - 4

• y = x + 4

Multiple Choice

Write the equation for the table given

• y = 1/3x

• y = 3x

• y = -1/3x

• y = -3x

Multiple Choice

y=7x

What is the missing number?

• 5

• 4

• 8

• 7

Multiple Choice

Which function represents this relation?

• $$y=3x$$

• $$y=x+5$$

• $$y=5x$$

• $$y=x+3$$

Multiple Choice

Which function represents this relation?

• $$y=\frac{x}{3}$$

• $$y=x-4$$

• $$y=\frac{x}{2}$$

• $$y=x+4$$

Multiple Choice

Which function represents this relation?

• $$y=7x$$

• $$y=3x$$

• $$y=\frac{x}{3}$$

• $$y=\frac{x}{7}\text{}$$

Multiple Choice

Which function represents this relation?

• $$y=3x$$

• $$y=x-12$$

• $$y=\frac{x}{6}$$

• $$y=\frac{x}{3}$$

Multiple Choice

Which function represents this relation?

• $$y=x+7$$

• $$y=2x$$

• $$y=x+5$$

• $$y=2.4x$$

Multiple Choice

Identify the function rule that best represents the following statement:
The total cost (C) for kilograms of beef (k) if each kilogram costs ​$2.55

• C = 2.55k

• C = 2.55 + k

• C = 2.55 - k

• C = 2.55k + 2.55

Multiple Choice

Identify the function rule that best represents the following statement:
A bottle rocket is being launched from the roof of an 80 meter tall building. If the rocket travels straight up at a rate of 22 m/s, what is the total height of the rocket as a function of time?

• H = 108x

• H = 80 - 22x

• H = 80 + 22x

• H = 80x + 22