Functions-Chapter 5 Review

Functions-Chapter 5 Review

Mrs. Stahr

Target 1: Domain and Range of a Function

Multiple Choice

What is the range of the graph?

• -15 < y < ∞
• (-∞, ∞)
• (-15, ∞)
• [-15, ∞)

Multiple Choice

What is the domain of the graph?

• {x| -∞ ≤ x ≤ ∞}
• (-∞,∞)
• -3 ≤ x ≤ 3
• -15 ≤ y ≤ 9

Multiple Choice

What is the range of the graph?

• -2 < y < 10
• -3 < x < 3
• -2 ≤ y ≤ 10
• -3≤ x ≤ 3

Multiple Choice

What is the domain of the graph?

• -3 ≤ x ≤ 3
• 3 ≤ x ≤ -3
• -2 ≤ x ≤ 10
• -3 ≤ x ≤ 10

Multiple Choice

• Function
• Not a Function

Multiple Choice

• Function
• Not a Function

Multiple Choice

Does this Mapping Diagram repersent a function?

• Function
• No Function
• I Don't Know

Multiple Choice

Does this table represent a function?

• Yes!
• No!
• I Don't Know

Multiple Choice

Does the graph represent a function?

• Yes

• No

Multiple Choice

Is the relation shown a function?

• No, because the x-value 11 is paired with 5 and 8.

• Yes, because each x-value has only one y-value paired with it.

Target 2: Discrete and Continuous Functions

Multiple Choice

What is the Y-intercept of this graph?

• (0,4)

• (0,9)

• (2,0)

• All of them

Multiple Choice

What type of graph is this?

• Discrete

• Continuous

Multiple Choice

what type of graph is this?

• Large graph

• Happy graph

• Continuous graph

• Discrete graph

Multiple Choice

You are driving to Florida to escape the upcoming snow. You are driving 70 miles per hour and have already driven 35 miles. Using y=70x+35 for the situation, determine if this graph will be discrete or continuous.

• Discrete
• Continuous

Multiple Choice

You are driving to Florida to escape the upcoming snow. You are driving 70 miles per hour and have already driven 35 miles. Using y=70x+35 for the situation, what does x represent?

• miles
• hours

Multiple Choice

When graphing a continuous function...

• Do not connect the dots
• Connect the dots
• You can't graph continuous functions
• There is no such thing as a continuous function

Multiple Choice

When graphing a discrete function...

• Do not connect the dots
• Connect the dots
• You can't graph discrete functions
• There is no such thing as a discrete function

Target 3: Function Notation

Multiple Choice

The function h(t) represents the height in inches of a plant after t weeks. What does the notation h(4) = 5 mean?

• After 5 week the plant is 4 inches tall
• The plant grows at a rate of 5/4 inch per week
• After 4 weeks the plant is 5 inches tall
• The plant grows at a rate of 1 inch per week

Multiple Choice

If f(x) = -4x - 5 and
g(x) = 3 - x,
what is g(-4) + f(1)?

• 7
• -2
• -9
• -10

Multiple Choice

Given f(x) = -4x - 10 and f(x) = 10. Find x

• x = -5
• x = 5
• x = -50
• x = 30

Multiple Choice

For the function f(x) = -3(x-1) find f(0).

• 0
• -3
• 3
• -1

Multiple Choice

If f(x) = 2x + 1, what would be your first step to find f(1)?

• Plug a 1 in for all the x's

• Set the function equal to 1

• Only plug a 1 into the left side

• Only plug a 1 into the right side

Multiple Choice

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

• Let x = 2

• Let y = 2

Multiple Choice

How do you read f(x)?

• f x

• f of x

• f parenthesis x

• f with an x inside parenthesis

Multiple Choice

How would you write y = 2x - 3 in function notation?

• y = 2x-3

• f = 2x - 3

• f(x) = 2x-3

Target 4: comparing linear and non-linear functions

Multiple Choice

• This is the graph of a linear equation

• This is the graph of a non linear equation

Multiple Choice

Which graph is linear?

• Graph A

• Graph B

• Graph C

• Graph D

Multiple Choice

Is this function linear or nonlinear?

• Linear function

• Nonlinear function

Multiple Choice

Is this function linear or nonlinear?

• Linear function

• Nonlinear function

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

Is this function linear or nonlinear?

• linear function

• nonlinear function

Multiple Choice

Is this function linear or nonlinear?

• Linear

• Nonlinear

Multiple Choice

Is this graph a function?

• Function

• Not a Function

Multiple Choice

Is this function linear or nonlinear?

• Linear

• Nonlinear

Sequences

A sequence is an ordered list of numbers. Each number in a sequence is called a term. Each term an has a specific position n in the sequence.

example: 5, 10, 15, 20, 25,…a_n