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Fundamentals of Exponential Functions

Fundamentals of Exponential Functions

Assessment

Flashcard

Mathematics

11th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the y-intercept of an exponential function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, represented as (0, f(0)). For example, in the function y = a(b^x), the y-intercept is (0, a).

2.

FLASHCARD QUESTION

Front

How do you express an exponential growth function?

Back

An exponential growth function can be expressed in the form y = a(1 + r)^x, where 'a' is the initial amount, 'r' is the growth rate, and 'x' is the time period.

3.

FLASHCARD QUESTION

Front

What is an exponential decay function?

Back

An exponential decay function is expressed as y = a(1 - r)^x, where 'a' is the initial amount, 'r' is the decay rate, and 'x' is the time period.

4.

FLASHCARD QUESTION

Front

What is the general form of an exponential function?

Back

The general form of an exponential function is y = a(b^x), where 'a' is a constant, 'b' is the base (b > 0, b ≠ 1), and 'x' is the exponent.

5.

FLASHCARD QUESTION

Front

What does the base of an exponential function indicate?

Back

The base of an exponential function indicates the growth or decay factor. If the base is greater than 1, the function represents growth; if the base is between 0 and 1, it represents decay.

6.

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 often y = 0.

7.

FLASHCARD QUESTION

Front

How do you find the y-intercept of the function y = 15(1.35)^x?

Back

To find the y-intercept, substitute x = 0 into the function: y = 15(1.35)^0 = 15(1) = 15, so the y-intercept is (0, 15).

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