Exp & Log Graphs

Exp & Log Graphs

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 the definition of a logarithm?

Back

A logarithm is the inverse operation to exponentiation, indicating the power to which a base must be raised to obtain a given number.

2.

FLASHCARD QUESTION

Front

What is the base of a logarithm?

Back

The base of a logarithm is the number that is raised to a power to produce a given number. Common bases are 10 (common logarithm) and e (natural logarithm).

3.

FLASHCARD QUESTION

Front

What is the vertical asymptote of a logarithmic function?

Back

The vertical asymptote of a logarithmic function is the line x = 0.

4.

FLASHCARD QUESTION

Front

What is the horizontal asymptote of an exponential function?

Back

The horizontal asymptote of an exponential function is typically y = 0.

5.

FLASHCARD QUESTION

Front

How does the graph of y = log(x) behave as x approaches 0?

Back

As x approaches 0 from the right, y approaches negative infinity.

6.

FLASHCARD QUESTION

Front

What transformation does y = log(x + 4) represent?

Back

The graph of y = log(x + 4) is shifted 4 units to the left compared to y = log(x).

7.

FLASHCARD QUESTION

Front

What transformation does y = log(x) - 4 represent?

Back

The graph of y = log(x) - 4 is shifted 4 units down compared to y = log(x).

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