EXPONENTIAL GRAPHS

EXPONENTIAL GRAPHS

Assessment

Flashcard

Mathematics

9th Grade

Practice Problem

Hard

CCSS
HSF-IF.C.7E, HSF-IF.C.8B

Standards-aligned

Created by

Wayground Content

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15 questions

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1.

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 a positive real number, and 'x' is the exponent.

2.

FLASHCARD QUESTION

Front

What is the general shape of an exponential growth graph?

Back

The graph of an exponential growth function rises steeply as x increases, starting from a low value and approaching infinity.

Tags

CCSS.HSF-IF.C.7E

3.

FLASHCARD QUESTION

Front

What is the general shape of an exponential decay graph?

Back

The graph of an exponential decay function decreases rapidly as x increases, approaching zero but never touching the x-axis.

Tags

CCSS.HSF-IF.C.7E

4.

FLASHCARD QUESTION

Front

What is an asymptote in the context of exponential functions?

Back

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

Tags

CCSS.HSF-IF.C.7E

5.

FLASHCARD QUESTION

Front

What happens to f(x) as x approaches infinity in an exponential growth function?

Back

As x approaches infinity, f(x) approaches infinity.

Tags

CCSS.HSF-IF.C.7E

6.

FLASHCARD QUESTION

Front

What happens to f(x) as x approaches negative infinity in an exponential decay function?

Back

As x approaches negative infinity, f(x) approaches the horizontal asymptote, which is typically y = 0.

Tags

CCSS.HSF-IF.C.7E

7.

FLASHCARD QUESTION

Front

What is the base of an exponential function?

Back

The base of an exponential function is the constant 'b' in the function f(x) = a * b^x, which determines the rate of growth or decay.

Tags

CCSS.HSF-IF.C.8B

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