Exponential Growth and Decay Basics

Front

If b > 1, this represents exponential __________.

Back

growth

Front

What is the value of 100^0?

Back

1

Front

Simplify the expression: 3x^2⋅x^2=

Back

3x^4

Front

(c^5)(c^3)(c^3)

Back

c^11

Front

Write each product using an exponent: 7 x 7 x 7 x 7 x 7 x 7 x 7 x 7

Back

7^8

Front

What is the general form of an exponential function?

Back

f(x) = a * b^x, where b > 0 and b ≠ 1.

Front

What does the base 'b' represent in an exponential function?

Back

The base 'b' represents the growth (if b > 1) or decay (if 0 < b < 1) factor.

Front

What is the value of 2^3?

Back

8

Front

If a population doubles every year, what type of growth is this?

Back

Exponential growth.

Front

What is the formula for exponential decay?

Back

f(t) = a * e^(-kt), where k > 0.