Unit 3 Test Extra Credit

Front

What is the exponential function for a savings account that starts with $400 and gains 3% every year?

Back

f(x)=400(1+0.03)^{x}

Tags

CCSS.HSF.LE.A.2

Front

Describe the equation y = 100 * 2^{x}.

Back

It starts with 100 and is doubling.

Tags

CCSS.HSF-IF.C.8B

Front

Classify the model A=1200(0.85)^{6}. Is it Exponential GROWTH or DECAY?

Back

Decay.

Tags

CCSS.HSF-IF.C.8B

Front

What is the domain of the exponential function g(x) = 5^{x+3}?

Back

All real numbers.

Front

What is the general form of an exponential growth function?

Back

f(x) = a(1 + r)^{x}, where a is the initial amount and r is the growth rate.

Tags

CCSS.HSF-IF.C.8B

Front

What is the general form of an exponential decay function?

Back

f(x) = a(1 - r)^{x}, where a is the initial amount and r is the decay rate.

Tags

CCSS.HSF-IF.C.8B

Front

If a population of bacteria doubles every hour, what is the exponential function that represents this growth if it starts with 100 bacteria?

Back

f(t) = 100 * 2^{t}.

Tags

CCSS.HSF.LE.A.2

Front

What does the base of an exponential function represent?

Back

The base represents the growth or decay factor.

Tags

CCSS.HSF-IF.C.8B

Front

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

Back

If the base is greater than 1, it is growth; if the base is between 0 and 1, it is decay.

Tags

CCSS.HSF-IF.C.8B

Front

What is the value of f(0) in the function f(x) = 400(1 + 0.03)^{x}?

Back

f(0) = 400.

Tags

CCSS.HSF.IF.A.2