Unit 2 Review

Unit 2 Review

Lesson 2.1 - 2.4

2.1 Functions & Relations

• Does x repeat?

• Does it pass the vertical line test?

Multiple Choice

Is this a function?

• YES

• NO

Multiple Choice

Is this a function?

• YES

• NO

Multiple Choice

Which graph does NOT pass the vertical line test?

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

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.

Poll

Rate Yourself on Lesson 2.1

• Level 0: I do not understand.

• Level 1: I almost have it, but need more practice

• Level 2: I can do this with some help or an example to guide me.

• Level 3: I get this! I can solve it on my own

• Level 4: I am very confident with this and can explain it someone else.

Open Ended

What questions do you have about 2.1 Relations & Functions?

2.2 Domain & Range

• Domain: x-values

• Range: y-values

• When dealing continuous graphs (data that conncets) you will need to use compound inequalities.

Multiple Choice

What is the domain of a relation?

• the set of all x-values

• the set of all y-values

Multiple Choice

Which is the set of all y-values or the outputs?

• Domain

• Range

• Relation

• Function

Multiple Choice

What is the domain of the relation shown in the table?

• {12}

• {6, 18}

• {3, 9, 15, 16}

• {13}

Multiple Choice

What is the range of the mapping?

• {1, 2, 4}

• {0, 1, 2, 3}

• {0, 3}

• {1, 4}

Multiple Choice

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

• D: {1, -3, -4,}
  R: {0, 1, 2, -4}
• D: {-4, 0, 1, 2}
  R:{-4, -3, 1}
• D: {0, 1, 2, 3, 4}
  R:{1, -3, -4}
• D: {0, 1, 2, -4}
  R: {1, -3, -4, 1}

Multiple Choice

What is the range of the graph?

• -7 ≤ x < 5
• -3 ≤ x < 1
• -3 ≤ y < 1
• -7 ≤ y < 5

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 graph?

• y≥1
• x≥1
• All real numbers
• none of these

Multiple Choice

What is the domain of the graph?

• y≥1
• x ≥ 1
• All real numbers
• none of these

Poll

Rate Yourself on Lesson 2.2 Domain and Range

• Level 0: I do not understand.

• Level 1: I almost have it, but need more practice

• Level 2: I can do this with some help or an example to guide me.

• Level 3: I get this! I can solve it on my own

• Level 4: I am very confident with this and can explain it someone else.

Open Ended

What questions do you have about 2.2 Domain and Range?

2.3 Linear vs Nonlinear

• Linear: Has a constant rate of change, a non-vertical line

• Nonlinear: Does not have a constant rate of change. Not a straight line.

Multiple Choice

Is this function linear or nonlinear?

• linear
• nonlinear

Multiple Choice

Is this function linear or nonlinear?

• linear

• nonlinear

Multiple Choice

Which of the function(s) above are linear?

• Function I, only
• Function II, only
• Function I and Function II, only
• Function I, Function II, and Function III

Multiple Choice

Why is this function linear?

• This is a linear function because it does not have a constant rate of change
• This is a linear function because it creates a curved line.
• This is a linear function because it have a constant rate of change.
• This is a linear function because it's y-intercept is (0,2)

Multiple Choice

Which answer choice is true?

• The table represents a linear function because there is a pattern for the x-coordinates and y-coordinates.
• The table represents a linear function because the ratio of the change in the y value and the change in the x value is constant.
• The table represents a nonlinear function because the ratio of the change in the y value and the change in the x value is not constant.
• The table does not represent a function because there is more than one output for at least one input.

Multiple Choice

Which table(s) represent linear functions?

• Table 1, only
• Tables 1 and 2, only
• Tables 1 and 3, only
• Tables 1, 2 and 3.

Poll

Rate Yourself on Lesson 2.3 Linear vs Nonlinear

• Level 0: I do not understand.

• Level 1: I almost have it, but need more practice

• Level 2: I can do this with some help or an example to guide me.

• Level 3: I get this! I can solve it on my own

• Level 4: I am very confident with this and can explain it someone else.

Open Ended

What questions do you have about 2.3 Linear vs Nonlinear?

2.4 Function Notation

• Think of the Nuggetizer

• x tells you what you need to input to the function to get the output

Multiple Choice

f(x) is the same thing as ______.

• y

• x

• input

• an equation

Multiple Choice

g(x) = 3x + 1
g(2) = _______

• 6
• 7
• 8
• 9

Multiple Choice

Given h(x) = 5 - 9x, find h(8). 

• h(8) = -360
• h(8) = -67

Multiple Choice

If h(a) = 3 - 2x², find h(-3).

• 33

• 21

• 39

• -15

Multiple Choice

Find f(2)

• 5

• 4

• 3

• 0

Multiple Choice

What is x if
f(x) = -2?

• 4
• 0
• 3
• 8

Poll

Rate Yourself on Lesson 2.4 Function Notation

• Level 0: I do not understand.

• Level 1: I almost have it, but need more practice

• Level 2: I can do this with some help or an example to guide me.

• Level 3: I get this! I can solve it on my own

• Level 4: I am very confident with this and can explain it someone else.

Open Ended

What questions do you have about 2.4 Function Notation?