Topic 3 Review

What is the definition of function?

• Has inputs and outputs
• Every input has only ONE output
• Inputs have different outputs every time
• x-values and y-values

Is this mapping a function or not a function? 

• Function
• Not a Function

Is this set of ordered pairs a function or not a function? 

• Function
• Not a Function 

Identify the domain of the following relation:

• -6, 14, 2, 28
• (-6,14), (0,32), (2,38), (4,44)
• -6, 0, 2, 4
• 14, 32, 38, 44

Janice is working as a babysitter for the Harold Family.  They plan to leave for their date at 7:00 pm  and be back by 12:00 am.  If the equation f(x) = 15x + 20 models the amount that Janice will earn, where x is the number of hours she works, and f(x) is the total money she earns, what is an appropriate domain?

• any value between 0 and 5
• any value between 15 and 20
• any value between -1 and 1
• any value greater than 0

Identify the range of the following function when given the domain { 2, 3, 10}:
y = 4x - 12

• 4, 12, 20
• -20, 0, 28
• -4, 0, 28
• 8, 12, 40

A line's y-intercept is changed from 10 to 4. Which way did it shift?

• up

• down

• left

• right

A line's y-intercept is changed from -4 to -6. Which way did it shift?

• up

• down

• left

• right

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• The graph of g is a vertical translation 2 units up of the graph of f
• The graph of f is a horizontal translation two units left of g
• The graph of g is a vertical stretch by a factor of 2 of the graph of f
• The graph of g is a reflection of the graph of f

Which transformation will occur if y = x is replaced with y = x+2?

• Translation left 2 units

• Translation right 2 units

• Vertical translation up by 2 units.

• Reflection across the x-axis.