Functions & their Vocabulary

Functions & Their Vocabulary

​Your learning Goals today are:

Given a set of points, table, map or a graph

1) Determine if a function exists
2) Determine the domain & range
3) Use function notation to evaluate the function

Watch this video to find out.

​

​What is a function?

Time to do a little practice on Identifying Functions

Multiple Choice

Is the relation a function? Why.

• Yes, because the x-value 11 has two y-values pair 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 pair with it.
• No, because each x-value has only one y-value paired with it.

Multiple Choice

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

Multiple Choice

Is this mapping a function or not a function? 

• Function
• Not a Function 

Multiple Choice

Is this table a function or not a function? 

• Function
• Not a Function

Multiple Choice

Which set of values is a function?

• (9,5) (10,5) (9,-5) (10,-5)
• (3,4) (4,-3) (7,4) (3, 8)
• (6,-5) (7, -3) (8, -1) (9, 1)
• (2, -2) (5, 9) (5, -7) (1, 4)

Multiple Choice

Is this graph a function or not a function? 

• Function 
• Not a Function

Multiple Choice

Which graph does NOT pass the vertical line test?

• Graph 1
• Graph 2
• Graph 3
• Graph 4

Multiple Select

Select ALL of the functions.

• { (a,z) , (b,z) , (c,z) }

Now that you know what a function is, find out what domain & range are.

​Please watch this until at least the 10:45 mark. After that, there are additional examples that may also help you, but you may have a pretty good idea once you get to this point.

Now try some practice on Domain & Range

Multiple Choice

The set of all x-values used to graph a function are called the ____.

• Domain

• Range

• Relation

• Function

Multiple Choice

DOMAIN is found by reading the ends of a graph from ___ to ___.

• Right to left

• Left to right

• Bottom to top

• Top to bottom

Multiple Choice

The set of all y-values used to graph a function are called the ____.

• Domain

• Range

• Relation

• Function

Multiple Choice

RANGE is found by reading the ends of a graph from ___ to ___.

• Right to left

• Left to right

• Bottom to top

• Top to bottom

Multiple Choice

What is the range of the following relation:
(9, -2) (4, 3)  ( 8, 10) ( -4, 8)

• -4, 4, 8, 9
• -2, 3, 8, 10
• (9, -2) ( 4, 3)
• (8, 10) (-4, 8)

Multiple Choice

What is the domain of the function graphed on the grid?

• -4 ≤ x < 5

• -4 ≤ x ≤ 5

• -3 ≤ x < 3

• -3 < x ≤ 3

Multiple Choice

What is the domain of the graph?

• -7 ≤ x < 5

• -3 ≤ x < 1

• -3 ≤ y < 1

• -7 ≤ y < 5

Multiple Choice

What is the range of the function graphed on the grid?

• {x = -2, 2, 4}

• {-3 ≤ y ≤ 4}

• {-2 ≤ x ≤ 4}

• {y = -3, 0, 4}

Multiple Choice

What is the domain of the function graphed on the grid?

• {x = -2, 2, 4}

• {-3 ≤ y ≤ 4}

• {-2 ≤ x ≤ 4}

• {y = -3, 0, 4}

Multiple Choice

What is the domain?

• $$\left(-\infty,\ -3\right]$$
  

• $$\left[3,\ -\infty\right)$$
  

• $$\left(-\infty,3\right]$$

• $$\left(-\infty,\infty\right)$$

• None of the answer choices

Multiple Choice

What is the range?

• $$\left(-\infty,\ -3\right]$$
  

• $$\left[3,\ -\infty\right)$$
  

• $$\left(-\infty,3\right]$$

• None of the answer choices

• $$\left[-3,\ \infty\right)$$  

Multiple Choice

What is the range?

• (-3, 3)
• [-4, 5)
• [-4 , 5]
• (-3 , 3]

Multiple Choice

What is the domain?

• (-3 , 3)
• [-4, 5]
• (-4, 5)
• (-3, 3]

Multiple Choice

What is the domain in Interval notation?

• [ -2 , 2 ]

• [ 4 , -4 ]

• (-2 , 2 )

• (4 , -4 )

Multiple Choice

What is the range in interval notation?

• [ -2 , 2 ]

• [ 4 , -4 ]

• -2 ≤ x ≤ 2

• 4 ≥ y ≥ -4

Multiple Choice

Give the domain and range. Tell if it is a function.

• D: {-4, -2, 0, 2}
  R: {-2, -2, 1, 1}
  Function
• D: {-4, -2, 0, 2}
  R: {-2, 1}
  Function
• D: {-4, -2, 0, 2}
  R: {-2, -2, 1, 1}
  Not a Function
• D: {-4, -2, 0, 2}
  R: {-2, 1}
  Not a Function

What is function notation & how do you use it?

​Please watch this video until the 6:08 time slot. You should develop the an understanding by then.

Now practice using function notation.

Multiple Choice

Evaluate $$f(-2)$$ if $$f(x)=x+3$$

• -1
• 1
• 5
• -5

Multiple Choice

Evaluate the function for $$f(9)$$ if $$\ f\left(x\right)=\frac{3}{5}x+8$$  .

• $$\frac{67}{5}$$  

• $$-\frac{13}{5}$$  

• $$-\frac{67}{5}$$  

• $$\frac{13}{5}$$  

Multiple Choice

If $$f(x)=3x-9$$ , find $$f(5)$$

• f(5) = 6
• f(5) = 16
• f(5) = -4
• f(5) = 24

Multiple Choice

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

Multiple Choice

How do you read $$f(x)$$ ?

• "f x"

• "f of x"

• "f parenthesis x"

• "f with an x inside parenthesis"

Multiple Choice

Given $$h(x)=5-9x$$ , find $$h(8)$$ . 

• h(8) = -360
• h(8) = -67
• h(8) = 31

• h(8) = 77

Multiple Choice

What point is represented by $$g(7)=14$$ ?

• (2,7)

• (7,2)

• (14,7)

• (7,14)

Multiple Choice

EVALUATE THE FUNCTION

• A

• B

• C

• D

Multiple Choice

EVALUATE THE FUNCTION

• A

• B

• C

• D

Multiple Choice

EVALUATE THE FUNCTION

• A

• B

• C

• D

Multiple Choice

EVALUATE THE FUNCTION

• A

• B

• C

• D

Multiple Choice

EVALUATE THE FUNCTION

• A

• B

• C

• D