Intro to Functions CFA Reteach Lesson

Intro to Functions CFA Reteach Lesson

FUNCTION

• In order for a relation to be considered a function...

  X’s CAN’T REPEAT!!

NOT A FUNCTION

• If any x values DO repeat...

  IT IS NOT A FUNCTION!

Multiple Choice

Is this set of ordered pairs 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

Does this table represent a function?

• Function
• Not a Function

Multiple Choice

Does this table represent a function?

• Function

• Not a Function

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

Is this mapping a function or not a function?

• Function

• Not a Function

FUNCTION

• Passes Vertical Line Test (VLT)

NOT A FUNCTION

• Does NOT pass Vertical Line Test (VLT)

​LOOKING AT A GRAPH

Multiple Choice

Is this graph a function or not a function?

• Function

• Not a Function

Multiple Choice

Is this graph a function?

• Function

• Not a Function

Multiple Choice

Is this graph a function or not a function? 

• Function 
• Not a Function

To find the domain, look at which possible x-values there are

On this graph, looking at the
x - axis, the domain starts at x = 1 and end when x = 5

​DOMAIN

To find the domain, look at which possible y - values there are

On this graph, looking at the
x - axis, the domain starts at y = 0 and end when y = 2

​RANGE

When there is a open dot, that value is not included, a closed dot is included

On this graph, that means -4 is NOT included in the domain but 2 is included
Similarly, that means -5 is included in the range but 5 is NOT included

Multiple Choice

Which of the inequalities below best describes the DOMAIN of the function shown on the graph?

• -2 ≤ x ≤ 2
• -5 ≤ x ≤ -3
• -2 ≤ x ≤ 3
• -5 ≤ x ≤ 3

Multiple Choice

Which of the inequalities below best describes the RANGE of the function shown on the graph?

• -2 ≤ y ≤ 2

• -5 ≤ y ≤ -3

• -2 ≤ y ≤ 3

• -5 ≤ y ≤ 3

Multiple Choice

What is the DOMAIN of the function graphed?

• -3 < x ≤ 6
• -3 < y ≤ 6
• 2 < y ≤ 6
• 2 < x ≤ 6

Multiple Choice

What is the RANGE of the function graphed?

• -3 < x ≤ 6
• -3 < y ≤ 6
• 2 < y ≤ 6
• 2 < x ≤ 6

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

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

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

Multiple Choice

What is the DOMAIN of the graph?

• {-4, 0, 2, 4}
• {-5, -4, -3, -1}
• {-5, -4, -3, -1, 0, 2, 4}
• All real numbers

Multiple Choice

What is the RANGE of the graph?

• {-4, 0, 2, 4}
• {-5, -4, -3, -1}
• {-5, -4, -3, -1, 0, 2, 4}
• All real numbers

Multiple Choice

What is the DOMAIN of the function shown?

• {10, 19, 26}
• {-3, 0, 4}
• {-3, 0, 4, 10, 19, 26}
• {0, 16}

Multiple Choice

What is the RANGE of the function shown?

• {10, 19, 26}
• {-3, 0, 4}
• {-3, 0, 4, 10, 19, 26}
• {0, 16}

Multiple Choice

Before a bowler rolls her first ball, 10 pins are standing. The number of pins that will be left standing, y, is a function of the number of pins she knocks down. What is the RANGE of the function? (*HINT: Which variable represents y in this situation?*)

• {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
• {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
• y ≤ 10
• 0 ≤ y ≤ 10