Remediation: All about Functions

Multiple Choice

For which of the following statements is the ONE-TO-ONE function?

• For x, y are the inputs and outputs

  x = {a, b, c, d}

  y = {s, t, u, v, w, x, y, z}

• For x, y are the inputs and outputs

  x = {s, t, u, v, w, x, y, z}

  y = {a, b, c, d}

• For x, y are the inputs and outputs

  x = {s, t, u, v, w, x, y, z}

  y = {a, b, c, d, e, f, g, h}

• For x, y are the inputs and outputs

  x = {s, t, u, v, w, x, y, z}

  y = {a}

Multiple Choice

Use the function  $$f\left(x\right)=$$  

$$3x-5,\ \ \ x\le3$$  

$$5x-10,\ \ \ x>3$$  
to find 
$$f\left(8\right)$$  

• 19

• 40
  

• 30
  

• 9

Multiple Choice

A toy rocket is launched into the air, and the data from the rocket's flight is graphed below. What is the domain of the data collected?

• 0≤ x ≤ 7
• 0≤ x ≤ 8
• 0≤ y ≤ 7
• 0≤ y ≤ 8

Multiple Choice

What do you notice about the function relation depicted in the image?

• Each daughter has one mother

• Each mother has multiple daughters

• Some daughters have no mothers

• Each daughter can have multiple mothers

Categorize

Options (4)

Are the following relations functions or not?

Function

NOT a function

Multiple Choice

Determine the domain and range of the function

• Domain: All real numbers

  Range: All real numbers

• Domain: x ≥ -4

  Range: All real numbers

• Domain: All real numbers

  Range: y ≥ -4

• Domain: -1 ≤ x ≤ 5

  Range: y ≥ -4

Multiple Choice

What are the end behaviors of the linear functions represented in the graphs A and B?

• As x → -∞ then y → ∞ for A

• As x → +∞ then y → -∞ for A

• As x → -∞ then y → -∞ for B

• As x → +∞ then y → ∞ for B

Multiple Choice

What is the end behavior of the function?

As x decreases, f(x) ________

As x increases, f(x) ________

• increases; increases

• increases; decreases

• decreases; increases

• decreases; decreases

Multiple Choice

What is the End behavior on the right side

•  x→∞, y→∞
•  x→⁻∞, y→∞
•  x→⁻∞, y→0
•  x→∞, y→⁻∞

Poll

How confident do you feel about this topic now?

• Very confident
• Somewhat confident
• Not confident

Multiple Choice

A function is _____________ if no two elements of the domain map to the same element in the range

• One to One

• Two to Two

• Skipped

• Two to One

Multiple Choice

What is the end behavior of this graph? 

• The end behavior of the graph is x →∞, y→∞ and x→∞, y→⁻∞
• The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→∞
• The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→0
• The end behavior of the graph is x →∞,y→0 and x→∞, y→⁻∞

Drag and Drop

Functions Review (Page 6a of Chapter 6)

What three types of functions did we review on this page?

Left column: ​ ​​

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Middle Column: ​  ​

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Right Column: ​ ​

Placeholder

Drag these tiles and drop them in the correct blank above

Linear

Absolute Value

Exponential

Quadratic

Standard Form

Vertex Form

Square Root

Cubic

Hotspot

Select all the relations that represent a function

Dropdown

Determine if the graph is a function. `​

Select answer

`

Drag and Drop

​ What is the domain and range for this graph?

Domain: ​

Placeholder

Range: ​

Placeholder

Drag these tiles and drop them in the correct blank above

All real numbers