Topic 3 - Linear Functions

The function is shown in the table.

Which of these statements best describes the relation shown?

• a function that is one-to-one

• a function that is many-to-one

• a function that is one-to-many

• a relation that is not a function

Select all the relations that are functions.

• ( 3, 2 ), (−1, 7) , (−3, 1) , ( 0, 9 ), (2, −4)

• 
• (1, 2) , (−1, 2) , (0, 4) , (1, 3 )

• 
• 

• The domain of the relation is continuous.

• The domain of the relation is discrete (not continuous).

• The domain and range are restricted to positive numbers.

• The domain and range are restricted to integers.

• The relation is not a function. (Does every x value (Days) have a unique value of y (shoe size)?)

The function f(x) = 4x + 10 models the amount of money Francis makes when babysitting for x hours. How much money will he make for 2 hours of babysitting work?

• -3

• -2

• 2

• 18

Shauna is going fishing. She records how many worms she has left at the start of each hour in the table below. Write a linear function rule for the data.

• f(x) = 2x + 9

• f(x) = −2x + 9

• f(x) = 2x − 6

• f(x) = −2x − 6

Graph f(x) = 3x − 4 .

• 20
• 50
• 0
• 2
• 2.2
• 6

The graph of g and the graph of f are shown. Which of the following describes a single transformation that compares the graph of g with the graph of f ? Select all that apply.

• The graph of g is the graph of f shifted 3 units left.

• The graph of g is the graph of f shifted 3 units right.

• The graph of g is the graph of f shifted 3 units up.

• The graph of g is the graph of f shifted 3 units down.

• The graph of g is the graph of f scaled by a factor of 1/4

Let f(x) = −7x + 9 . Suppose you add 2 to the input of f (inside/directly to x) to create a new function g, then multiply the output of g (outside) by −3 to create function h . What are the slope and y -intercept of the graph of h ?

slope = ​ (a)   y-intercept = ​ (b)  

• 21
• 15
• -14
• 6
• 18

• stretched
• compressed
• vertically
• horizontally
• 6
• 1/6
• 2