Linear Function: Evaluating & Writing

​Linear Function

Evaluating & Writing Functions

Bellwork Do NOW

Once you have completed your bell work, store away your device and have your notes, white board, dry erase marker and eraser ready.

Multiple Choice

Determine the domain

• All real numbers
• (-∞, 6]
• [-6, 6]

Multiple Choice

All of the y values or outputs are called what?

• Domain
• Range
• Relation
• Function

Multiple Choice

All of the x values or inputs are called what?

• Domain
• Range
• Relation
• Function

Multiple Choice

What are the x- and y -intercepts on this graph?

• (0,5), (0,5)
• (5,0), (5,0)
• (5,0), (0,5)
• (0,0), (5,0)

Multiple Choice

What is the y-intercept?

• (0,7)
• (0, 0)
• (0,1)
• (0, 2)

Multiple Choice

Find the slope of  the line. 

• 3
• 1/3
• -1/3
• -3

Multiple Choice

Which of the following is the slope formula?

• $$\frac{rise}{run}$$  

• $$\frac{y_2-y_1}{x_2-x_1}$$  

• $$y=mx+b$$  

• $$\frac{\Delta y}{\Delta x}$$  

• $$\frac{x_2-x_1}{y_2-y_1}$$  

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Independent Practice

Be sure to have scratch work to turn in afte completion

Multiple Choice

The independent variable is also called the __________.

• output
• input
• beginning variable
• cause

Multiple Choice

The dependent variable is also called the __________.

• output
• input
• effect
• ending variable

Multiple Choice

Evaluate the following function for x= 3

f(x)= -2x + 8

• f(3)= 2

• f(3)= -4

• f(3)= -6

• f(3)= -3

Multiple Choice

Evaluate the following function for x= -2

f(x)= 5x + 1

• f(-2)= 10

• f(-2)= 8

• f(-2)= -9

• f(-2)= 2

Multiple Choice

Evaluate the following function for x= -3

f(x)= 10x + 3

• f(-3)= 30

• f(-3)= -27

• f(-3)= -5

• f(-3)= 20

Multiple Choice

Evaluate the following function for x= 11

f(x)= 3x + 9

• f(11)= 30

• f(11)= 27

• f(11)= 33

• f(11)= 42

Multiple Choice

Evaluate the following function for x= -7

f(x)= 2x + 11

• f(-7)= -3

• f(-7)= -14

• f(-7)= -5

• f(-7)= 20

Multiple Choice

What is the rate of change (slope) to rent a raft from Water's Edge Rafts?

• $6 per hour
• $5 per hour
• $1 for 6 hours
• $1 for 5 hours

Multiple Choice

Which panda is growing faster?

• Mochi
• Kappa
• Po the dragon warrior
• Jack Black

Multiple Choice

Who is losing weight faster?

• Valerie
• Oscar
• Mrs. Conte
• They are losing the same amount of weight

Multiple Choice

y = 1/2x - 1

• slope: 1/2   y-intercept:  -1 
• slope: 2/1   y-intercept:  -1
• slope: 3   y-intercept:  -3 
• slope: 2  y-intercept:  5 

Multiple Choice

Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation in y = mx + b form for the total cost of x pounds of fruit from the orchard.

• y = 3x + 2.5
• y = 2.50x + 3
• y = 2.50x 
• y = 3x + 2.50

Multiple Choice

A holiday meal costs $12.50 a person plus a delivery fee of $30.  Which equation represents the amount a holiday meal costs, including delivery, for x people?

• y = 30 + 12.5x 
• y = 12.5 + 30
• y = 12.5 + 30x

Multiple Choice

Sandra has a $20 itunes gift card and spends $3 each month.  Which equation can be used to find how much money Sandra has on her giftcard after x months?

• y = 3x + 20
• y = 3 + 20x
• y = -3x + 20
• y = -20x + 3

Multiple Choice

Find the slope from the table.

• -4
• 1
• 4
• -2

Multiple Choice

Which equation that matches the table?

• y= 5x+5

• y=1/5x+5

• y=15x+5

• y=10x+5

Multiple Choice

What equation matches the table?

• y= 3x - 10

• y= -1/3x + 10

• y= -3x - 10

• y= 1/3x - 10

Exit Ticket
Out the Door

Multiple Choice

Identify the function rule that best represents the following statement:
The base price (P) of a pizza is $4.99 plus an additional $0.95 for each topping (t).

• P = 4.99 - 0.95t
• P = 4.99 + 0.95t
• P = 5.94t
• t = 4.99P + 0.95

Multiple Choice

The school cafeteria has 285 cartons of milk in stock. Each day, a total of 60 cartons are sold. Which function rule best represents this situation?

• y = 285x + 60 
• y = 285x - 60
• y = 285 - 60x
• y = 285 + 60x

Multiple Choice

Write the equation with a slope of -3 and a y-intercept of (0, 4). 

• y = -3x + 4
• y = -12x
• y = x + 4
• y = 4x - 3

Multiple Choice

• $$y=\frac{3}{5}x-1$$

• $$y=\frac{2}{5}x$$

• $$y=\frac{2}{5}x-1$$

• $$y=-x-3$$

Multiple Choice

Evaluate f(x)= -2x + 13   for f(10)

• -7
• 1
• -8
• 7

Multiple Choice

A plumber charges $50 for a house call plus $12 per hour for labor. The linear function P(x) represents the cost of the plumber for x hours.

P(x) = 50 + 12x

Find P(4)

• $86

• $98

• $110

• $74