Function Notation Lesson 2.1

Function Notation Lesson 2.1

by Erica Player

Multiple Choice

How do we read the notation below?

f(x)

• f times x

• f of x

• fox

• f plus x

Multiple Choice

What are the input values?

• x

• y

• z

Multiple Choice

In a function equation, f(x) takes the place of...

• x

• y

• g

Multiple Choice

How many methods will we use to evaluate functions?

• 1

• 2

• 3

• infinite

​What is f(2)?

​

​In other words, what is the output when the input is 2?

​What is f(-1)?

​

​In other words, when x is -1, what is the y value?

Multiple Choice

What is the value of f(0)?

• -2
• 2
• 4
• 0

Multiple Choice

Evaluate for f(1)

• 0
• -3
• 3
• 2

Multiple Choice

If a question asks you to find f(2), what does that mean?

• Let x = 2

• Let y = 2

Multiple Choice

What is f(2)?

• -4
• 8
• 0
• 5

Multiple Choice

f(3) = 1

What does this mean?

• when you plug in a 3, you get out a 1

• when you plug in a 1, you get out a 3

• t

Multiple Choice

What is the value of f(-5)?

• -2

• 2

• 4

• 0

​You can also evaluate 'backwards'. (Given the output, what is the input?)

​

​Example: if f(x) = -3, what is x?

​What is f(-1)?

​

​In other words, when x is -1, what is the y value?

Multiple Choice

For what value of x does f(x) = -2?

• 0
• -5
• 3
• -3

​Here are 2 examples of evaluating a function algebraically (using the equation).

​f(-6) = 20, because when you plug in a -6, the output is 20.

That means the graph would contain the point: (-6, 20)

Multiple Choice

If f(x)=6x²-4,
what is f(-1)?

• -2
• 13
• 2
• 0

Multiple Choice

Evaluate f(2):

f(x)=3x+1

• 7

• 9

• 11

• 13

Multiple Select

Which have the same value when

a(x)=x²

• a(-2)

• a(0)

• a(2)

• a(4)

Multiple Choice

Which of the following has the smallest value? Let m(x)= $$-3x+5$$  

• m(-1)

• m(0)

• m(1)

• m(2)

Multiple Choice

Which input will result in an output of 12 for the following function? $$d\left(x\right)=x^2+3$$  

• 12

• 4.5

• 3

• 0

​We can also evaluate from a table. The work has already been done to create a partial table below. Notice: f(-2) = -3....Right?

Multiple Choice

Evaluate f(5)

• 1
• 10
• 13
• 16

Multiple Choice

y=x-6
What is the missing number?

• 12
• 10
• 14
• 13

Multiple Choice

Determine the value of x given f(x) = 10

• 33

• 11

• 10

• 30

Poll

How well do you understand evaluating functions and function notation?

• Not well

• Need a little more practice

• Ready to move on!

Poll

How do you feel you did on the Unit 1 test?

• F

  Not good at all

• C

  Maybe okay

• B

  Pretty good

• A

  Great