Growth and Decay Functions

Front

What is an example of exponential decay?

Back

y = 8(0.5)^x

Tags

CCSS.HSF-IF.C.8B

Front

In an exponential function, what does the 'a' represent?

Back

Y-INTERCEPT

Tags

CCSS.HSF.LE.B.5

Front

What is the general form of an exponential function?

Back

f(x) = a(b)^x, where 'a' is the y-intercept and 'b' is the base.

Tags

CCSS.HSF.LE.A.2

Front

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

Back

The growth (b > 1) or decay (0 < b < 1) factor.

Tags

CCSS.HSF-IF.C.8B

Front

What is the y-intercept of the function f(x) = 3(2)^x?

Back

3

Tags

CCSS.HSF-IF.C.7E

Front

How do you determine if a function is exponential growth or decay?

Back

If 0 < b < 1, it's decay; if b > 1, it's growth.

Tags

CCSS.HSF-IF.C.8B

Front

What is the value of 'b' in the function f(x) = 300(1.16)^x?

Back

1.16

Tags

CCSS.HSF.LE.B.5

Front

What is the y-intercept of the function f(x) = 5(3)^x?

Back

5

Tags

CCSS.HSF-IF.C.7E

Front

If f(x) = 4(0.5)^x, what happens to the value of f(x) as x increases?

Back

f(x) decreases towards 0.

Tags

CCSS.HSF-IF.C.8B

Front

What is the formula for calculating the half-life in exponential decay?

Back

Half-life = ln(0.5) / ln(b), where b is the decay factor.