Identifying Graphs with Functions

Consider this graph of a function. An input of –2 would produce an output of...

• 0

• 1

• 2

• –2

Tags

CCSS.HSF.IF.A.2

Consider the graph. Which of the following are true statements about the equation represented by the graph? Check all that apply.

• It is a function

• It is not a function

• An input of 1 has an output of 1

• An input of 1 has an output of 3

• An input of 2 has an output of 2

What is the domain of the relation shown in this graph?

• All real numbers

• It's not a function so it doesn't have a domain

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the range of the relation shown in this graph?

• All real numbers

• It's not a function so it doesn't have a range

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

which one is a linear function?

• f(x) = x + 2

• 4x -1

• f(x) = x³ + 2

• g(x) = 2^x

Tags

CCSS.8.F.A.3

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 dilation 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 f(x) = x is replaced with f(x) + 2?

• Horizontal Translation left 2 units on the x-axis

• Horizontal Translation right 2 units on the x-axis

• Vertical translation up by 2 units on the y-axis

• Reflection across the x-axis.

Which transformation on f(x) = x is g(x) = -f(x)

• Reflection across the origin

• The slope will be less steep

• The graph will be wider

• Reflection across the x-axis.

If the graph of the parent function f(x) = x is a vertical translation shifted 7 units up on the y-axis and is vertically stretched by a factor of 3, what is the function?

• g(x) = 3f(x - 7)

• g(x) = 3f(x) - 7

• g(x) = 3f(x) + 7

• g(x) = 7(x - 3)

A student graphed f(x) = x and g(x) = f(x + 4). Which statement is true?

• The graph of f is steeper than the graph of g.

• The graph of f is less steep than the graph of g.

• The graph of f is shifted 4 units up to create the graph of g.

• The graph of f is shifted 4 units to the left to create the graph of g.