Functions Quiz and Flashcards - Algebra 1A Unit 3

Questions and Answers

To emphasize the slow increase in profits, it would be best for Bradley to use ___________ for his presentation.

graph A

The relationship between the number of months after the first year and the amount remaining on the card is __________.

discrete

What are the domain and range of the relation?

0 ≤ x ≤ 70, 0 ≤ y ≤ 500

Which graph models the piecewise function for the toy packaging company situation?

(0, 0), (3, 240), (5, 240), (9, 320) Signup and view all the answers

Which graph has the most appropriate scales and units for the cost of renting a community center?

Total Rental Costs ($) on y-axis (100, 200, 300, 400, 500); Number of guests on x-axis (10, 20, 30, 40, 50) Signup and view all the answers

Describe the distance traveled between 10 minutes and 15 minutes.

The distance traveled between 10 minutes and 15 minutes is increasing. Signup and view all the answers

Based on the graph, which statement is true?

The total price depends on the number of crates. Signup and view all the answers

Which of the following represents a function?

9 3 Signup and view all the answers

A particular strain of a common bacteria replicates itself every 14 minutes. What does this situation represent?

Both a relation and a function Signup and view all the answers

What is the domain of the set of ordered pairs: (-1,1), (0,-1), (5,-11), (10,-21)?

{-1, 0, 5, 10} Signup and view all the answers

Which of the following does Ronnie's data represent?

A relation only Signup and view all the answers

Which of these graphs represents a function?

X Signup and view all the answers

What is the range of the function shown on the graph?

9 ≤ y ≤ 8 Signup and view all the answers

Given the domain {-4, 0, 5}, what is the range for the relation 12x + 6y = 24?

{12, 4, -6} Signup and view all the answers

Let d(t) be the total number of miles Joanna has cycled, and let t represent the number of hours after stopping for a break during her ride. d(t) = 12t + 20. So, d(4) = . This means that after , Joanna __.

68, 4 hours, cycled 68 miles total Signup and view all the answers

Which function has the same graph as x + y = 11?

f(x) = -x + 11 Signup and view all the answers

Find the value of h(-7) for the function h(x) = 5.7 - 19x.

138.7 Signup and view all the answers

Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45, select the statement that could be true for g.

g(-13) = 20 Signup and view all the answers

Find the value of g(7) for the function g(x) = 7/8x - 1/2.

45 / 8 Signup and view all the answers

What domain and range are reasonable for the function W(b) = 12b given that Owen has enough materials to build up to 10 birdhouses?

D: 0 ≤ b ≤ 10; R: 0 ≤ W(b) ≤ 120 Signup and view all the answers

Study Notes

Functions and Graphs

Profits of competitors increased slowly over 16 months, emphasized through graph A as it appears to increase less.
Cash card starts at $25; value decreases by $2.50 each month after the first year. This relationship is discrete with independent variable as time (months) and dependent variable as remaining value.
Water heater drains 100 gallons in 20 minutes, then 200 gallons in the following 20 minutes, closed for a 10-minute break. Domain: 0 ≤ x ≤ 70, Range: 0 ≤ y ≤ 500.

Piecewise Functions

Toy packaging: 80 boxes/hour for first 3 hours, 2-hour training break, then 20 boxes/hour for 4 hours. The function is represented by points (0, 0), (3, 240), (5, 240), (9, 320).
Community center rental: $100 base cost plus $10 per guest. Appropriate graph scales: y-axis for rental costs ($100 to $500), x-axis for guest count (10 to 50).

Distance and Rate

Jacob's road trip covers 10 miles in 15 minutes; during the first 10 to 15 minutes, distance traveled is increasing.

Relations and Functions

Relationship between the number of crates and total price is important for analysis.
Functions represented by ovals: -4 to 5 paired with 9, 3, 13, and 7.
Bacterial replication occurs every 14 minutes; this is both a relation and a function.
Survey on siblings and pets shows only a relation, not a function.

Domain and Range

Given ordered pairs (-1, 1), (0, -1), (5, -11), (10, -21); domain is {-1, 0, 5, 10}.
Function from graphical representation has range of 9 ≤ y ≤ 8.
Given a function 12x + 6y = 24, domain of {-4, 0, 5} results in a range of {12, 4, -6}.

Function Evaluation

For Joanna's cycling function d(t) = 12t + 20, d(4) = 68, indicating 68 miles cycled after 4 hours.
For the linear equation x + y = 11, an equivalent function is f(x) = -x + 11.
Function h(x) = 5.7 - 19x evaluated at h(-7) yields 138.7.
g(x) = 7/8x - 1/2 evaluated at g(7) results in 45/8.
g has a domain of -20 ≤ x ≤ 5 and range of -5 ≤ g(x) ≤ 45, with potential values like g(-13) = 20 being possible.

Resource Management

Owen can build up to 10 birdhouses needing 12 square feet each; function W(b) = 12b with domain 0 ≤ b ≤ 10 and range 0 ≤ W(b) ≤ 120.

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Description

Test your knowledge on functions as part of the Algebra 1A curriculum. This post test focuses on functions through practical examples, such as analyzing profit trends over time. Perfect for reviewing key concepts in preparation for assessments.

Algebra 1A Unit 3 Post Test: Functions