Algebra 1B - Unit 1 Exam Flashcards

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Questions and Answers

Which recursive formula describes this sequence? a1 = 6 and an = an-1 + 5

a1 = 5, an = an-1 + 6

a1 = 7, an = an-1 + 5

a1 = 6, an = an-1 + 4

a1 = 6, an = an-1 + 5 (correct)

For which function does f(14) = 23?

f(x) = x + 9

Which of the following is an arithmetic sequence?

{-6, 1, 8, 15, 22} (correct)

{1, 2, 4, 8, 16}

{3, 6, 9, 12}

{5, 10, 15, 20}

What is the 6th term in the sequence described by the following recursive formula?

-11 Signup and view all the answers

Which of the following equations represents the function f(x)?

f(x) = 1/2x Signup and view all the answers

Which statement correctly analyzes the domain of this situation?

The domain represents the weeks that have passed since Samantha started counting the kittens. The domain is all whole numbers. Signup and view all the answers

What is the explicit formula represented by this graph?

an = 3 + 2(n - 1) Signup and view all the answers

What is the explicit formula for the sequence {3, 8, 13, 18,...}?

an = 3 + 5(n - 1) Signup and view all the answers

Which statement best describes the function that could be used to model the cost of the car rental, c(d), as a function of distance, d?

The function can be represented by the equation c(d) = 50 + 0.12d, and the function is a linear function. Signup and view all the answers

Which of the diagrams below represent a function from the set x and y? (Select all that apply)

Diagram 1 Signup and view all the answers

Which of the following graphs represents a relation that is not a function of x?

Graph 2 Signup and view all the answers

Which of the following statements is true about the sequence? (Select all that apply)

f(5) = 33 Signup and view all the answers

Examine the following tables of ordered pairs and identify which relations are functions. (Select all that apply)

Relation 1 Signup and view all the answers

What is the range of the function g(t) = t^2 − 5 when the domain is defined as the set of integers, t, such that −4 ≤ t ≤ 2?

{-5, -4, -1, 4, 11} Signup and view all the answers

What is the 6th value in the sequence with the explicit formula an = −2n − 14?

-26 Signup and view all the answers

What is f(x) when x = 3?

f(3) = 5 Signup and view all the answers

Study Notes

Recursive Formulas and Sequences

Recursive formula for the sequence: a1 = 6, an = an-1 + 5.
Sixth term in the sequence identified as a6 = -11.
Explicit formula for specific sequences:
- For the sequence {3, 8, 13, 18,...}, the formula is an = 3 + 5(n - 1).
- Another recursive sequence given: an = 3 + 2(n - 1).

Functions and Evaluations

For the function f(x), with given condition f(14) = 23, the function is defined as f(x) = x + 9.
Specific functional evaluation: f(3) results in f(3) = 5.

Arithmetic and Non-arithmetic Sequences

Recognized arithmetic sequence: {-6, 1, 8, 15, 22}.
Sixth value of the sequence from explicit formula an = −2n − 14 calculated as -26.

Domain and Range Analysis

Domain of kitten counting situation represents weeks as all whole numbers.
Range of the function g(t) = t^2 − 5 with integer domain -4 ≤ t ≤ 2 is {-5, -4, -1, 4, 11}.

Linear Functions and Models

Cost of car rental modeled by linear function c(d) = 50 + 0.12d.

Relations and Functions

Evaluate relations to identify functions: determined through ordered pairs.
Invalid functions cause specific graphs not to satisfy the vertical line test for functions.

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Description

Test your knowledge with these flashcards covering key concepts from Algebra 1B, Unit 1. Each card presents essential questions on sequences, functions, and formulas, aimed at reinforcing your understanding of the subject. Perfect for preparing for your upcoming exam!