The video tutorial explains the relationship between exponential functions and their inverse, logarithmic functions. It starts by introducing the problem of plotting points on the graph of y = b^x and then finding corresponding points on the graph of y = log base b of x. The tutorial explains how to identify points on the exponential graph and then swap x and y values to find points on the logarithmic graph, highlighting the reflection over the line y = x. The video concludes by plotting these points on a graph interface, emphasizing the inverse relationship between the two functions.

What is the value of y when x is 0 in the function y = b^x?

• x

• 1

• 0

• b

If b^1 equals 4, what is the value of y when x is 1?

• 1

• 2

• 4

• b

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

• y = b^x

• y = x^b

• y = x^2

• y = log base b of x

What is the value of y in the inverse function when x is 1?

• b

• 0

• 4

• 1

How do you find the value of y in y = log base b of x when x is 4?

• Find b^4

• Divide 4 by b

• Find the power to which b must be raised to get 4

• Multiply b by 4

What is the value of y when x is 16 in the inverse function?

• 1

• 16

• 2

• 4

What is the relationship between the points of the functions y = b^x and y = log base b of x?

• They are parallel

• They are inverses over the line y = 0

• They are reflections over the line y = x

• They are identical

What happens to the x and y values when plotting the inverse function?

• They remain the same

• They are swapped

• They are halved

• They are doubled

Which point corresponds to (0, 1) in the inverse function?

• (1, 0)

• (0, 0)

• (0, 4)

• (1, 1)

What is the significance of the line y = x in the context of these functions?

• It is the x-axis

• It is the axis of symmetry

• It is the y-axis

• It is the line of reflection for inverse functions