Exponential Functions Basics

Front

What does 'a' represent in the exponential function f(x) = a ⋅ b^x?

Back

'a' represents the y-intercept of the function.

Front

What does 'b' represent in the exponential function f(x) = a ⋅ b^x?

Back

'b' represents the common ratio in the function.

Front

What is the interpretation of the y-intercept in an exponential function?

Back

The y-intercept represents the initial amount.

Front

What is the starting term 'a' for the function f(x) = 300(1.16)^x?

Back

'a' is 300.

Front

Does the function f(x) = 5(1.09)^x represent growth or decay?

Back

It represents exponential growth.

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 and 'b' is a positive real number.

Front

What is the general form of an exponential growth function?

Back

f(x) = a ⋅ b^x, where b > 1.

Front

What is the general form of an exponential decay function?

Back

f(x) = a ⋅ b^x, where 0 < b < 1.

Front

How do you identify exponential growth from a function?

Back

If the base 'b' is greater than 1, the function represents exponential growth.

Front

How do you identify exponential decay from a function?

Back

If the base 'b' is between 0 and 1, the function represents exponential decay.