Exponential Functions Review

Front

What is the domain of the exponential function?

Back

The domain of the exponential function is all real numbers, denoted as x ∈ R.

Front

What is the next term in the sequence 2, 4, 8, 16?

Back

The next term is 32.

Front

A substance starts with a mass of 310 grams and decays at 8.9% per hour. Write an equation to model the situation.

Back

The equation is y = 310(0.911)^x.

Front

What is the equation of the horizontal asymptote for the exponential function?

Back

The horizontal asymptote is y = -4.

Front

Solve for x: 500 = 20(x)^2

Back

x = 5.

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 exponent.

Front

What is the range of an exponential function?

Back

The range of an exponential function is all positive real numbers, denoted as y > 0.

Front

What is the base of an exponential function?

Back

The base of an exponential function is the constant b in the function f(x) = a * b^x, which determines the rate of growth or decay.

Front

What does it mean for an exponential function to have a horizontal asymptote?

Back

A horizontal asymptote indicates the value that the function approaches as x approaches infinity or negative infinity.

Front

How do you determine if an exponential function is increasing or decreasing?

Back

An exponential function is increasing if the base b > 1 and decreasing if 0 < b < 1.