Unit 6 Exponential and Logarithmic Graphs

Unit 6 Exponential and Logarithmic Graphs

Assessment

Flashcard

Mathematics

10th Grade

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is an asymptote?

Back

An asymptote is a line that a graph approaches but never touches. For exponential functions, the horizontal asymptote is often y=0.

2.

FLASHCARD QUESTION

Front

Given the function y=3^x, what is the horizontal asymptote?

Back

y=0

3.

FLASHCARD QUESTION

Front

What characterizes exponential growth?

Back

Exponential growth occurs when a quantity increases by a constant percentage over time, represented by functions of the form y=a(b^x) where b>1.

4.

FLASHCARD QUESTION

Front

What characterizes exponential decay?

Back

Exponential decay occurs when a quantity decreases by a constant percentage over time, represented by functions of the form y=a(b^x) where 0

5.

FLASHCARD QUESTION

Front

What is the range of the function y=6?

Back

The range is {6} since it is a constant function.

6.

FLASHCARD QUESTION

Front

What is the range of the function y=2^x?

Back

The range is (0, ∞) because the output of the function is always positive.

7.

FLASHCARD QUESTION

Front

What is the general form of an exponential function?

Back

The general form is y=a(b^x), where a is a constant, b is the base, and x is the exponent.

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