Unit 3 Linear Functions Review 1 (Teacher out)

Graph the equation 2x - y= 2 using intercepts

The function c(x)=14x+13​ represents the cost (in dollars) of renting a surfboard, where x​ is the number of hours you rent the surfboard.

• Discrete

• Continuous

The function c(x)=14x+13​ represents the cost (in dollars) of renting a surfboard, where x​ is the number of hours you rent the surfboard.

Identify the domain and range

Groups:

(a) Domain

,

(b) Range

,

(c) Not needed

• x=0,1,2,3,4.....

• y=0,1,2,3,4......

• y>13

• Cost

• y>0

• y=13,27,41,55.....

• x>0

• Hours

Let f(x)=3x-4 , g(x)= -f(x)

Choose the description of the transformation from the graph f(x) to the graph of g(x)

• g(x) is the reflection of f(x) over the x-axis

• g(x) is the reflection of f(x) over the y-axis

Let f(x)=x+2 . Give the new function when g(x)= f(3x)

• g(x)= 3x+6

• g(x)= 3x+2

Let f(x)=x+2 . Describe the transformation when g(x)= f(3x)

• The graph of g(x)​ is a horizontal stretch of the graph f(x)​ by a factor of 3​ .

• The graph of g(x)​ is a vertical stretch of the graph f(x)​ by a factor of 3​ .

Identify the graph of

g (x) = |x| + 6

• 
• 
• 
• 

Choose the description of the transformation from the graph of

f (x) = |x| to the graph of g(x) = |x| + 6

• The graph of g is a

  vertical translation 6 units

  up of the graph of f

• The graph of g is a

  vertical translation 6 units

  down of the graph of f

• The graph of g is a

  horizontal translation 6

  units left of the graph of f

• The graph of g is a

  horizontal translation 6

  units right of the graph of

  f

Choose the description of the domain and range of the given graph

• The domain is x ≥ 6 . The

  range is y ≥ 6 .

• The domain is all real

  numbers. The range is

  y ≥ 6 .

• The domain is all real

  numbers. The range is the

  all real numbers.

• he domain is x ≥ 6 . The

  range is all real numbers.

How many

-intercepts can the graph of an absolute value function have? Select all that apply.

• 0

• 1

• 2

• 3