12/11 Assign. Unit 5 Review

Front

What is the initial amount in the function f(x) = 300(1.16)^x?

Back

The initial amount is 300.

Front

What type of function is y = 7(5/4)^x?

Back

Exponential Growth.

Front

What is the value of the expression (5^3 * 5^{-8}) / (5^{-2} * (5^3)^{-2}) raised to the power of 0?

Back

1.

Front

What does a graph showing an upward trend represent?

Back

Growth.

Front

What does a graph showing a downward trend represent?

Back

Decay.

Front

Define 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 a positive real number, and x is the variable.

Front

What is the base of an exponential function?

Back

The base is the constant b in the function f(x) = a * b^x.

Front

What is the difference between exponential growth and exponential decay?

Back

Exponential growth occurs when the base b > 1, while exponential decay occurs when the base 0 < b < 1.

Front

How do you identify an exponential function from a table of values?

Back

If the ratio of consecutive outputs is constant, the function is exponential.

Front

What is the formula for calculating the growth factor in an exponential function?

Back

The growth factor is given by the base b in the function f(x) = a * b^x.