Functions Transformations with Function Notation

Is this mapping a function or not a function? 

• Function

• Not a Function 

Tags

CCSS.8.F.A.1

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

Tags

CCSS.HSF.IF.A.2

Find f(2)

• 5

• 4

• 3

• 0

Tags

CCSS.HSF.IF.A.2

Is the relation a function? Why?

• Yes, because the x-value 11 has two y-values paired with it.

• Yes, because each x-value has only one y-value paired with it.

• No, because the x-value 11 has two y-values paired with it.

• No, because each x-value has only one y-value paired with it.

Tags

CCSS.8.F.A.1

Rewrite f(x) = 2x - 1 shifted up three units and the slope doubled (a)  

• f(x) = 5x - 2

• f(x) = 4x + 2

• f(x) = 4x + 3

• f(x) = 5x - 4

• left

• right

• up

• down

The linear parent function, f(x) = x, is transformed to g(x) = f(x + 3). Describe the transformation. (a)  

• g(x) is shifted up 3 units

• g(x) is shifted down 3 units

• g(x) is shifted left 3 units

• g(x) is shifted right 3 units

Match the following

• The line shifted 6 units to the left.

• f(x+6)

• The line shifted 3 units up.

• f(x-6)

• The line shifted 6 units down.

• f(x)+3

• The line shifted 6 units to the right.

• f(x)-6

• The line shifted 3 units to the left.

• f(x+3)

Tags

CCSS.HSF.BF.B.3

The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 3. Describe the transformation. (a)  

• g(x) is shifted up 3 units

• g(x) is shifted down 3 units

• g(x) is shifted left 3 units

• g(x) is shifted right 3 units

What is the effect on the graph of the linear parent function, f(x) = x, when f(x) is replaced by f(x- 7)? Complete the sentence by selecting the correct answers from the drop-down menus. The graph of the line ​ (a)   ​ ​ (b)   7 units.

• shifts horizontally

• up

• down

• left

• right

• shifts vertically