Exponential Functions

Graph the exponential function y = 2^x.

• Graph the linear function y = 2x instead.

• Plot the function y = x^2 instead of y = 2^x.

• Use a pie chart to represent the exponential function y = 2^x.

• Graph the exponential function y = 2^x by plotting points and connecting them smoothly.

Solve the equation 3^(2x) = 81.

• x = 5

• x = 4

• x = 3

• x = 2

Explain a real-life scenario where exponential growth is observed.

• Growth of a plant in a garden

• Spread of a viral infection

• Increase in the number of students in a classroom

• Expansion of a small business

Compare and contrast the properties of exponential and linear functions.

• Exponential functions are always increasing, while linear functions can be increasing or decreasing.

• Exponential functions are always linear, while linear functions can be exponential.

• Exponential functions have a constant difference between successive outputs, while linear functions have a constant ratio between successive outputs.

• Exponential functions have a constant ratio between successive outputs, while linear functions have a constant difference between successive outputs.

Calculate the value of 4^3.

• 16

• 12

• 25

• 64