Matching Exponential and Logarithmic Functions to Graphs

The video tutorial explains how to match graphs with their corresponding equations, focusing on exponential and logarithmic functions. It highlights the inverse relationship between these functions and provides methods to identify them. The tutorial compares exponential functions with different bases and demonstrates how to recognize inverse functions through specific points on the graphs.

Which colors represent the exponential growth functions in the video?

• Red and Green

• Blue and Black

• Black and Green

• Blue and Red

What does y = log base 3 of x imply in exponential form?

• 3^x = y

• x^3 = y

• 3^y = x

• y^3 = x

What is the inverse function of y = 2^x?

• y = 2 log x

• y = x^2

• y = log base 2 of x

• y = log base x of 2

Which function grows faster, y = 2^x or y = 3^x?

• y = 3^x

• Both grow at the same rate

• y = 2^x

• Insufficient information

Which graph should increase faster based on the function's base?

• Black

• Green

• Red

• Blue

What point does the red function contain that helps identify it?

• (1, 3)

• (1, 2)

• (2, 1)

• (3, 1)

What is the correct point for y = 3^x when x = 1?

• (1, 1)

• (1, 2)

• (1, 3)

• (3, 1)

If y = log base 2 of x, which point must be on its graph?

• (3, 1)

• (1, 2)

• (2, 1)

• (1, 3)

Which function is represented by the green graph?

• y = 3^x

• y = 2^x

• y = log base 2 of x

• y = log base 3 of x

What does the point (2,1) indicate about the function y = log base 2 of x?

• It is the maximum point

• It is the minimum point

• It is the y-intercept

• It is a point on the graph