Graphing Exponential Functions: Key Concepts and Techniques

What makes a function exponential?

• The base

• The exponent

• The coefficient

• The variable

In the general form y = a * b^x, what does 'b' represent?

• The coefficient

• The base

• The exponent

• The variable

What is the parent function for exponential functions?

• y = x^2

• y = x + b

• y = 2^x

• y = a * b^x

When graphing y = 2^x, what is the value of 'a'?

• 2

• 0

• x

• 1

What is the y-value when x = -1 for the function y = 2^x?

• 0.5

• 1

• 2

• 4

How does the graph of y = 2^x behave as x approaches negative infinity?

• It goes to zero

• It oscillates

• It goes to infinity

• It becomes negative

What happens to the graph of y = 2^x as x increases?

• It remains constant

• It decreases

• It increases rapidly

• It approaches zero

What effect does changing the 'a' term have on the graph of an exponential function?

• It shifts the graph horizontally

• It reflects the graph

• It changes the base

• It changes the steepness

How can you differentiate between two graphs on a non-color screen calculator?

• By changing the coefficient

• By making one graph bold

• By changing the exponent

• By changing the base

What is the purpose of graphing multiple exponential functions on the same graph?

• To see the effects of changing 'a' and 'b'

• To make the graph more colorful

• To confuse the students

• To practice using the calculator