Exponential Functions Introduction

Exponential Functions Introduction

Assessment

Flashcard

Mathematics

9th Grade

Practice Problem

Hard

CCSS
HSF-IF.C.7E, HSF-IF.C.8B, HSF-BF.B.4A

+1

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

2.

FLASHCARD QUESTION

Front

What does the graph of an exponential function look like?

Back

The graph of an exponential function is a smooth curve that either increases or decreases rapidly, depending on the base 'b'. If b > 1, the graph increases; if 0 < b < 1, the graph decreases.

Tags

CCSS.HSF-IF.C.7E

3.

FLASHCARD QUESTION

Front

What is the y-intercept of an exponential function?

Back

The y-intercept of an exponential function is the point where the graph crosses the y-axis, which occurs at (0, a) when f(x) = a * b^x.

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 the x-axis (y=0).

Tags

CCSS.HSF-IF.C.7E

5.

FLASHCARD QUESTION

Front

How does the base of an exponential function affect its growth?

Back

The base 'b' determines the rate of growth: if b > 1, the function grows exponentially; if 0 < b < 1, the function decays exponentially.

Tags

CCSS.HSF-IF.C.8B

6.

FLASHCARD QUESTION

Front

What is the domain of an exponential function?

Back

The domain of an exponential function is all real numbers, represented as (-∞, ∞).

7.

FLASHCARD QUESTION

Front

What is the range of an exponential function?

Back

The range of an exponential function is all positive real numbers, represented as (0, ∞).

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