Exponential functions

Exponential functions

Assessment

Flashcard

Mathematics

8th Grade

Practice Problem

Hard

CCSS
HSF-IF.C.8B, HSF.LE.A.2, HSF.LE.B.5

Standards-aligned

Created by

Wayground Content

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14 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 is the common ratio in an exponential function?

Back

The common ratio in an exponential function is the base 'b' raised to the power of 'x', which determines how much the function grows or decays.

3.

FLASHCARD QUESTION

Front

What is the value of b^0?

Back

b^0 = 1 for any non-zero base 'b'.

4.

FLASHCARD QUESTION

Front

How do you classify an exponential function as growth or decay?

Back

An exponential function is classified as growth if the base 'b' is greater than 1 (b > 1) and as decay if the base 'b' is between 0 and 1 (0 < b < 1).

Tags

CCSS.HSF-IF.C.8B

5.

FLASHCARD QUESTION

Front

What is the formula for exponential growth?

Back

The formula for exponential growth is A = P(1 + r)^t, where A is the amount after time t, P is the initial amount, r is the growth rate, and t is time.

Tags

CCSS.HSF-IF.C.8B

6.

FLASHCARD QUESTION

Front

What is the formula for exponential decay?

Back

The formula for exponential decay is A = P(1 - r)^t, where A is the amount after time t, P is the initial amount, r is the decay rate, and t is time.

Tags

CCSS.HSF-IF.C.8B

7.

FLASHCARD QUESTION

Front

If A = 1200(0.85)^6, is this exponential growth or decay?

Back

This is exponential decay because the base (0.85) is less than 1.

Tags

CCSS.HSF-IF.C.8B

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