Alg 1 Final Review #3

Alg 1 Final Review #3

Assessment

Flashcard

Mathematics

9th - 12th Grade

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a recursive formula?

Back

A recursive formula defines the terms of a sequence using previous terms. It typically includes an initial term and a rule for finding subsequent terms.

2.

FLASHCARD QUESTION

Front

Given the sequence 15, 12, 9, 6, 3, what is the recursive formula?

Back

a_1 = 15, a_n = a_{n-1} - 3.

3.

FLASHCARD QUESTION

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is the base, and x is the exponent.

4.

FLASHCARD QUESTION

Front

How do you find the equation of an exponential function from a table?

Back

Identify the initial value (a) and the growth factor (b) by examining the ratios of consecutive outputs.

5.

FLASHCARD QUESTION

Front

Given the population of algae starts at 500 and triples every hour, what is the function representing this growth?

Back

y = 500(3)^x.

6.

FLASHCARD QUESTION

Front

What is the difference between a linear function and an exponential function?

Back

A linear function has a constant rate of change, while an exponential function has a variable rate of change that increases or decreases multiplicatively.

7.

FLASHCARD QUESTION

Front

What does the term 'initial value' refer to in an exponential function?

Back

The initial value is the starting amount before any growth or decay occurs, represented by 'a' in the function f(x) = a * b^x.

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