Intro to Functions

Intro to Functions

Input/Output

Vocabulary Review

Multiple Choice

Multiple Choice

Define: Domain

• The set of all input values (usually x)

• The set of all output values (usually y)

• Connected covering a wide range of values

• Containing only a few specific values

Multiple Choice

Define: Discrete

• The set of all input values (usually x)

• The set of all output values (usually y)

• Connected covering a wide range of values

• Containing only a few specific values

Multiple Choice

Define: Function

• The set of all input values (usually x)

• The set of all output values (usually y)

• A set of inputs that are each assigned only one output

• Any set of inputs and outputs

Multiple Choice

Define: Range

• The set of all input values (usually x)

• The set of all output values (usually y)

• Connected covering a wide range of values

• Containing only a few specific values

Multiple Choice

Define: Continuous

• The set of all input values (usually x)

• The set of all output values (usually y)

• Connected covering a wide range of values

• Containing only a few specific values

Characterizing and Identifying Functions

Fill in the Blanks

What is the domain of this table?

(separate operators and terms with a single space. Separate lists with a comma and single space)

Fill in the Blanks

What is the range of this table?

(separate operators and terms with a single space. Separate lists with a comma and single space)

Open Ended

Is this table a function? Explain

Fill in the Blanks

What is the domain of this set of ordered pairs?

(separate operators and terms with a single space. Separate lists with a comma and single space)

Fill in the Blanks

What is the range of this set of ordered pairs?

(separate operators and terms with a single space. Separate lists with a comma and single space)

Open Ended

Is this set of ordered pairs a function? Explain

Fill in the Blanks

What is the domain of this set of points?

(separate operators and terms with a single space. Separate lists with a comma and single space)

Fill in the Blanks

What is the range of this set of points?

(separate operators and terms with a single space. Separate lists with a comma and single space)

Open Ended

Is this set of points a function? Explain

Fill in the Blanks

What is the domain of this set of ordered pairs?

(separate operators and terms with a single space. Separate lists with a comma and single space)

Fill in the Blanks

What is the range of this set of ordered pairs?

(separate operators and terms with a single space. Separate lists with a comma and single space)

Open Ended

Is this set of ordered pairs a function? Explain

Open Ended

What is the domain of this graph?

Open Ended

What is the range of this graph?

Open Ended

Is this graph a function? Explain

Function Notation

Fill in the Blanks

For the next set of problems use the following functions. Put your answers in the blanks.
$f\left(x\right)=2x+10$

$g\left(x\right)=15-3x$
Find the value of f(x) when x = 4

Fill in the Blanks

For the next set of problems use the following functions. Put your answers in the blanks.
$f\left(x\right)=2x+10$

$g\left(x\right)=15-3x$
Find the value of f(x) when x = -1

Fill in the Blanks

For the next set of problems use the following functions. Put your answers in the blanks.
$f\left(x\right)=2x+10$

$g\left(x\right)=15-3x$
Find g(4)

Fill in the Blanks

For the next set of problems use the following functions. Put your answers in the blanks.
$f\left(x\right)=2x+10$

  $g\left(x\right)=15-3x$
Find g(-2)

Fill in the Blanks

For the next set of problems use the following functions. Put your answers in the blanks.
$f\left(x\right)=2x+10$                   
$g\left(x\right)=15-3x$
Find x if f(x) = 32