Unit 2 Eval 1 Review

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, 'b' is the base (a positive real number), and 'x' is the exponent.

Front

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

Back

The 'a' represents the y-intercept or initial value of the function.

Front

What is the general form of an exponential growth function?

Back

The general form is f(x) = a(b)^x, where b > 1.

Front

What is the general form of an exponential decay function?

Back

The general form is f(x) = a(b)^x, where 0 < b < 1.

Front

How do you identify an exponential function from a set of equations?

Back

An exponential function will have a variable in the exponent, such as f(x) = a(b)^x.

Front

What is the initial value in the function y = 4(2)^x?

Back

The initial value is 4.

Front

Which of the following is an example of an exponential function: y = x^2 or f(x) = 3^x?

Back

f(x) = 3^x is an exponential function.

Front

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

Back

The base 'b' indicates the growth (b > 1) or decay (0 < b < 1) rate of the function.

Front

How can you determine if a table of values represents an exponential function?

Back

If the ratio of consecutive outputs (y-values) is constant when the inputs (x-values) are multiplied by the same factor, it represents an exponential function.

Front

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

Back

The y-intercept is 2.