Graphing Exponential Growth and Decay Functions

What is a key characteristic of an exponential function?

• It has a variable in the exponent.

• It has a variable in the base.

• It is a linear function.

• It has a constant as an exponent.

Which of the following is an example of an exponential function?

• y = 2^(x+1)

• y = x/x

• y = 2x

• y = x^2

What does exponential growth look like on a graph?

• It forms a straight line.

• It increases as it moves from left to right.

• It decreases as it moves from left to right.

• It remains constant.

What is the domain of an exponential function?

• All real numbers

• All negative numbers

• All positive numbers

• Only integers

What is the range of an exponential growth function?

• All real numbers

• All positive numbers

• Y values greater than zero

• Y values less than zero

What happens to an exponential growth function's graph as x approaches infinity?

• It remains constant.

• It approaches a horizontal asymptote.

• It increases without bound.

• It decreases towards zero.

How is the graph of y = 2^(x+1) related to the graph of y = 2^x?

• It is shifted one unit to the right.

• It is shifted one unit to the left.

• It is stretched vertically.

• It is compressed vertically.

What causes an exponential function to show decay?

• A base that is a whole number greater than one.

• A base that is a fraction smaller than one.

• A positive exponent.

• A negative exponent.

How does the graph of an exponential decay function behave?

• It falls towards the right.

• It rises towards the right.

• It remains constant.

• It oscillates.

In an exponential decay function, what does the base of the exponent need to be?

• A fraction greater than one.

• A whole number.

• A fraction between 0 and 1.

• A negative number.