Linear Functions Real World Examples

How would you write y = 2x - 3 in function notation?

• y = 2x-3

• f = 2x - 3

• f(x) = 2x - 3

• Can't be written in function notation

Given the function, f, shown on the graph, what is the value of f(3)?

• 0

• 2

• 6

• 1

If f(x) = 3x - 9, find f(5).

• f(5) = 6

• f(5) = 16

• f(5) = -4

• f(5) = 24

What point is represented by g(7) = 14 ?

• (2,7)

• (7,2)

• (14,7)

• (7,14)

Which situation can be represented by y=12x-4?*Hint: Pay attention to your sign for your y-intercept*

• The number of eggs, y, in x dozen eggs for sale after 4 dozen eggs are sold

• The cost, y, of buying x movie tickets that sell for $4 each

• The cost, y, after a $4 discount, of buying x T-shirts that sell for $12 each

• The number of inches, y, in an x-foot-tall tree after cutting off 4 feet

Apply a linear function to a real-world scenario.

• Use the equation y = mx + b to represent a non-linear relationship between two variables in a real-world scenario.

• Identify a real-world scenario with a quadratic relationship between two variables and use the equation y = ax^2 + bx + c to represent the relationship.

• Apply a linear function to a real-world scenario by using the equation y = mx^2 + b.

• Identify a real-world scenario with a linear relationship between two variables and use the equation y = mx + b to represent the relationship.

Find f(2)

• 5

• 4

• 3

• 0

Is this table a function or not a function? 

• Function

• Not a Function

What does the "b" stand for in y=mx + b?

• Slope

• Output

• Input

• Y-intercept

The slope can be identified in an equation because it...

• is always attached to x

• is the first number in the equation

• is not attached to anything

• is always attached to y