Comparing Exponential and Logarithmic Functions

What are the two types of functions discussed in the video?

• Linear and Quadratic

• Polynomial and Rational

• Sine and Cosine

• Exponential and Logarithmic

What is the value of y when x is zero in the function y = 2^x?

• 0

• 1

• 2

• 1/2

What is the behavior of the exponential function as x becomes very negative?

• Approaches zero

• Approaches infinity

• Becomes undefined

• Remains constant

What is the horizontal asymptote of the graph of y = 2^x?

• y = 0

• y = 1

• x = 1

• x = 0

What does the logarithmic function y = log base 2 of x represent?

• y is the base that raises x to 2

• y is the exponent to which 2 must be raised to yield x

• x is the exponent to which 2 must be raised to yield y

• x is the base that raises y to 2

What is the value of y when x is 1/4 in the function y = log base 2 of x?

• -2

• -1

• 0

• 1

In the function y = log base 2 of x, what does y equal when x is 8?

• 2

• 3

• 1

• 4

What line do the graphs of the exponential and logarithmic functions reflect about?

• y = -x

• x = y

• y = x

• x = -y

How are the exponential and logarithmic functions related?

• They are identical

• They are unrelated

• They are inverses of each other

• One is the derivative of the other

What happens to the value of y in the logarithmic function as x approaches zero?

• Becomes positive

• Approaches zero

• Approaches infinity

• Becomes increasingly negative